• Home

  • Documents

  • integration indefinite mix student version · 2018. 2. 5. · 2 2 1 cos tan dx ∫ x x 193. ∫...
32
Created by T. Madas Created by T. Madas INTEGRATION MIX

integration indefinite mix student version · 2018. 2. 5. · 2 2 1 cos tan dx ∫ x x 193. ∫ 3cos 33 x dx 194. ∫ 3sec 4 x dx 195. ∫ 2sin cos3x x dx 196. 2sin cos sin x dx ∫

  • Upload
    others

  • View
    8

  • Download
    0

Embed Size (px)

Citation preview

  • Created by T. Madas

    Created by T. Madas

    INTEGRATION

    MIX

  • Created by T. Madas

    Created by T. Madas

    1. ( )1

    26 4 3x dx+

    2. 12

    3 1dx

    x +

    3. 12

    4 1

    xdx

    x −

    4. 12

    4 1dx

    x +

    5. 12

    4 1

    xdx

    x +

    6. ( )2

    sin cosx x dx+

    7. ( )2

    2sin cosecx x dx+

    8. ( )( )

    5

    3 1 2 1dx

    x x− +

    9. 4 sin 2x x dx

    10. 7

    4dx

    x

    11. 2

    2x dx

    x

    +

    12. ( )

    7

    2

    10

    1 4

    dx

    x−

    13. ( )1 2cos sinx x dx+

  • Created by T. Madas

    Created by T. Madas

    14. ( )2 12cos cos 2x x dx−

    15. 2

    14

    4

    xdx

    x −

    16. 2

    9

    2 1dx

    x x+ −

    17. ( ) 28 1 e xx dx−+

    18. ( )2

    2e e

    x xdx

    −+

    19. ( )

    3

    6

    3 2

    dx

    x +

    20. ( )

    3

    6

    3 2

    xdx

    x +

    21. ( )sin 2cos sinx x x dx−

    22. ( )2 cos sin 2

    2cos

    x xdx

    x

    +=

    23. 8 3

    4

    xdx

    x

    −

    24. 2

    3

    6

    8

    xdx

    x +

    25. ( )3

    1 2cos sinx x dx+

    26. cos x dx

  • Created by T. Madas

    Created by T. Madas

    27. 3

    2 1dx

    x −

    28. ( )

    6

    10

    2 1

    dx

    x +

    29. ( )( )

    3 1

    2 1 2

    xdx

    x x

    −

    + −

    30. ( )2

    2 sin x dx+

    31. ( )1

    45 2 3x dx−

    32. 4

    3

    e 3

    e

    x

    xdx

    +

    33. 5e xx dx

    34. 3

    42

    xdx

    x +

    35. ( )( )

    2

    2 4dx

    x x− −

    36. 3

    4 1dx

    x +

    37. 2

    11 dx

    x

    +

    38.

    ( )3

    21

    xdx

    x −

  • Created by T. Madas

    Created by T. Madas

    39. cos sinx x dx−

    40. sin cosx x dx−

    41. ( )sin 4 3x dx+

    42. 1

    xdx

    x +

    43. ( )cos 5 2x dx−

    44. 3sin 2x dx

    45. ( )21 sec sinx x dx+

    46. ( )2

    1 2cos x dx−

    47. ( )2 21 cot secx x dx+

    48. 2 cos3x x dx

    49. ( )( )

    3

    2 1dx

    x x+ −

    50. ( )4

    10 3 1x dx+

    51. ( )1

    26 2 1x dx+

  • Created by T. Madas

    Created by T. Madas

    52. 2 2

    1

    cos tandx

    x x

    53. cos sinx x dx

    54. 2

    2

    cosdx

    x

    55. 22 2tan x dx+

    56. 2

    1 cos

    sin

    xdx

    x

    +

    57. ( )

    2

    2

    1 cos

    sin

    xdx

    x

    +

    58. sin 3x x dx

    59. ( )

    3

    2

    2 1

    xdx

    x +

    60. ( )1

    4 5x dx−

    −

    61. 1

    4dx

    x

    62. ( )( )

    1

    1 2dx

    x x+ +

    63. 1x

    dxx

    +

    64. 1

    xdx

    x +

  • Created by T. Madas

    Created by T. Madas

    65. 2

    4

    1 2

    xdx

    x−

    66. 2

    1

    9 1

    xdx

    x

    +

    −

    67. sin 4x x dx

    68. ln x dx

    69. ( )

    2

    4

    2 7

    dx

    x −

    70. 24cos x dx

    71. ( )2 21 tan secx x dx+

    72. ( ) 21 tan secx x dx+

    73. ( )2cosec 3 1x dx+

    74. ( )212sec 2 3x dx+

    75. sin x

    dxx

    76. 2 26e x dx+

    77. ( )2 21 cot secx x dx−

  • Created by T. Madas

    Created by T. Madas

    78. sin cos

    sin cos

    x xdx

    x x

    −

    +

    79. sec tan 1 secx x x dx+

    80. tan 2 sec2x x dx

    81. 2 lnx x dx

    82. 2

    6

    2 8dx

    x x− −

    83. 23cot x dx

    84. cos 2 sinx x dx

    85. 2

    4xdx

    x

    +

    86. ( )5

    27 2 3x dx−

    87. 2

    34

    xdx

    x−

    88. ( )1sin 2x x dx

    89. 2

    4

    4 4 1dx

    x x+ +

    90. 3

    4 1dx

    x +

  • Created by T. Madas

    Created by T. Madas

    91. 1

    xdx

    x −

    92. ( )

    1

    2

    1

    3 2

    dx

    x −

    93. 6 3

    2

    xdx

    x

    +

    94. 4 1

    2 5

    xdx

    x

    +

    −

    95. 2

    4

    1

    xdx

    x −

    96. 2

    2 1

    xdx

    x −

    97. 4

    2

    1 cos

    cos

    xdx

    x

    +

    98. ( )( )

    2

    17 5

    2 3 2

    xdx

    x x

    −

    + −

    99. ( )sin 2 1x x dx−

    100. ( )3

    4 3 2x dx−

    101. x x dx

    102. 32 2

    1dx

    x x

  • Created by T. Madas

    Created by T. Madas

    103. 3

    2 4dx

    x−

    104. 1

    1 cos 2dx

    x+

    105. 2

    2

    2dx

    x x−

    106. 2

    ln xdx

    x

    107. 2

    3

    3

    1

    xdx

    x +

    108. 2 1

    2 1

    xdx

    x

    +

    −

    109. ( )( )

    14 1

    1 2 1

    xdx

    x x

    +

    − +

    110. 6

    2 3

    xdx

    x +

    111. 4 2

    2

    sin cos

    sin

    x xdx

    x

    +

    112. ( )

    2

    4dx

    x x−

    113. 1

    2 1dx

    x+ −

    114. 4

    6 1dx

    x −

    115. 2

    2

    3e

    e 1

    x

    xdx

    −

  • Created by T. Madas

    Created by T. Madas

    116. 2secx x dx

    117. cosec2 cot 2x x dx

    118. 2 2tan secx x dx

    119. sin 2 cosecx x dx

    120. ( )2

    2cos 3sinx x dx−

    121. sin tan

    cos

    x xdx

    x

    +

    122. 2

    1 sin

    cos

    xdx

    x

    +

    123. sine cosx x dx

    124. 2 sinx x dx

    125. ( )3

    2 1x dx+

    126. 4

    2

    tan

    cos

    xdx

    x

    127. ( )( )

    2

    2

    4 6 5

    2 2 1

    x xdx

    x x

    − +

    − −

  • Created by T. Madas

    Created by T. Madas

    128. 3 1

    2 3

    xdx

    x

    −

    +

    129. 2

    8

    1 2

    xdx

    x−

    130. ( )

    3

    2

    10

    3 1

    dx

    x +

    131. 5x dx

    132. 2sin cosx x dx

    133. ( ) ( )22 1 sin 1x x x dx+ + +

    134. ( )( )22 1 1x x x dx+ + +

    135. ( ) ( )21 cos 2 1x x x dx+ + +

    136. 1

    2dx

    x+

    137. 1

    e e 2x x

    dx−

    + +

    138. ( )2 3tan 1x x dx+

    139. ( )3 2ln 1x x dx+

    140. 2 2sin secx x dx

  • Created by T. Madas

    Created by T. Madas

    141. 23sec sinx x dx

    142. ( )

    3

    1

    1 ln

    dx

    x x+

    143. 3 lnx x dx

    144. ( )3ln 2x x dx

    145. 44 cos sinx x dx−

    146. 3

    cos

    sin

    xdx

    x

    147. 2

    4sec

    tan

    xdx

    x

    148. 2sec tan 1 tanx x x dx+

    149. 2

    1 2tan

    cos

    xdx

    x

    +

    150. 2tan x dx

    151. ( )

    2

    2

    1 sin

    cos

    xdx

    x

    +

    152. 2

    cos

    1 sin

    xdx

    x+

    153. 1

    1 cosdx

    x+

  • Created by T. Madas

    Created by T. Madas

    154. cos

    sin

    xdx

    x

    155. 5

    2

    410

    2 1

    xdx

    x +

    156. sin x dx

    157. 2

    1 2

    xdx

    x−

    158. ( )

    5

    12

    1 2

    dx

    x−

    159. 4

    5 2

    2

    5 8

    x xdx

    x x

    +

    + +

    160. 1

    xdx

    x −

    161. ( )

    1

    1

    dx

    x x+

    162. 3

    4

    2 1

    2

    xdx

    x x

    +

    +

    163. ( )

    2

    1

    xdx

    x x

    +

    +

    164. ( )sin ln secx x dx

    165. ( )

    2

    2

    1 2cos

    3sin

    xdx

    x

    +

  • Created by T. Madas

    Created by T. Madas

    166. 1

    lndx

    x x

    167. ( )2

    2 3x dx−

    −

    168. 2 12sec sin 22

    x x dx+

    169. ln x

    dxx

    170. 4

    cos

    sin

    xdx

    x

    171. 2 26 tan secx x dx−

    172. 4 26cos 2sinx x dx−

    173. sin 4 cos4x x dx

    174. 1

    cosec cotdx

    x x−

    175. 2

    1

    xdx

    x −

    176. 2

    3e

    e 1

    x

    x

    dx

    −

    177.

    ( ) 3 231

    2

    dx

    x x+

    178. 7

    4

    4

    1

    xdx

    x +

  • Created by T. Madas

    Created by T. Madas

    179. 2

    9 1

    xdx

    x +

    180. 3

    2dx

    x x+

    181. 3

    1

    xdx

    x+

    182. 2

    3 2

    4 1

    xdx

    x

    +

    +

    183. 2 3

    3 4 2dx

    x x x

    + −

    184. 22sin 2 cosx x dx

    185. ( )( )

    2

    2

    10 23 11

    2 3 2 1

    x xdx

    x x

    − +

    − −

    186. sec

    sec tan

    xdx

    x x−

    187. cos6x x dx

    188. sin sin3x x dx

    189. 14cos3 sin32

    x x dx+

    190. 2sin 6x dx

    191. 2

    cos2

    1 cos 2

    xdx

    x−

  • Created by T. Madas

    Created by T. Madas

    192. 2 2

    1

    cos tan

    dx

    x x

    193. 33cos 3x dx

    194. 43sec x dx

    195. 2sin cos3x x dx

    196. 2sin

    cos sin

    xdx

    x x+

    197. 4 1

    2 1 3 4dx

    x x+

    − −

    198. 2 sin3x x dx

    199. 2cosec 2x dx

    200. 3sin 2 cos2x x dx

    201. 2cot 3x dx

    202. 7

    3dx

    x

    203. sin cos

    1 cos2

    x xdx

    x−

    204. sin cos

    1 cos2

    x xdx

    x+

  • Created by T. Madas

    Created by T. Madas

    205. ( )5

    4 3 2x dx−

    206. 1 sin

    cos

    xdx

    x

    +

    207. sin 2 secx x dx

    208. sin 2 sinx x dx

    209. 2cosx x dx

    210. ( )1

    3sin 1x dx+

    211. 2

    1 ln xdx

    x

    −

    212. 2

    34 ex

    x dx−

    213. ( )2

    ex

    x dx+

    214. 4

    2

    e e

    e

    x x

    xdx

    −−

    215. ln

    ex

    dxx

    216. ( )

    4

    1

    2 3 1

    dx

    x +

    217. ( )cos ln x

    dxx

  • Created by T. Madas

    Created by T. Madas

    218.

    2

    2

    2

    2

    4 e

    1 2e

    x

    x

    xdx

    +

    219. ( )

    4

    3 2 1dx

    x +

    220. 2

    1

    cos tandx

    x x

    221. sin 2

    1 cos

    xdx

    x+

    222. 3sin x dx

    223. 1 1sin 2 cos33 2

    x x dx−

    224. 2

    3

    4 2

    xdx

    x−

    225. 2

    1

    sin cosdx

    x x

    226. 2

    3

    4 2

    xdx

    x−

    227. ( )

    3

    2

    1 4

    4 ln

    xdx

    x x x

    −

    −

    228. 4

    sin

    cos

    xdx

    x

    229. 2

    cosec

    1 cot

    xdx

    x+

    230. ( )2 1cos 4x x dx

  • Created by T. Madas

    Created by T. Madas

    231. ( )( )

    3

    2 1

    dx

    x x− +

    232. ( )( )

    1

    2 2

    dx

    x x− +

    233. 4 3

    2 1

    xdx

    x

    −

    +

    234. 1

    1 x dxx

    +

    235. sec

    cos sin

    xdx

    x x−

    236. 2

    2

    2

    1

    xdx

    x

    −

    −

    237. 3 2

    1dx

    x x−

    238. 3

    2

    26

    2 1

    xdx

    x −

    239. 1

    1 1dx

    x+ −

    240. 1

    5

    xdx

    x

    +

    −

    241. ( )

    22

    3

    xdx

    x

    +

    242. 2 14e sin33

    xx dx

    −−

  • Created by T. Madas

    Created by T. Madas

    243. 22 sec 2x x dx

    244. 8cos sinx x dx

    245. 5

    7

    sin

    cos

    xdx

    x

    246. tan3x dx

    247. 1

    sec 1dx

    x −

    248. 2

    4

    sin

    cos

    xdx

    x

    249. sin cos

    1 cos

    x xdx

    x−

    250. ( )

    14 1

    4

    xdx

    −−

    251. 2

    e 2e

    e 1

    x x

    xdx

    −

    +

    252. 2

    2 3 2

    1

    x xdx

    x

    − +

    −

    253. 21 cot x dx−

    254. 2

    4 2

    1xdx

    x x

    +

    −

    255. 4cosec x dx

  • Created by T. Madas

    Created by T. Madas

    256. 1

    22 ex

    x dx

    257. ( )2

    e 2ex x

    dx−

    +

    258. ( )e sin ex x dx

    259. 2ex dx

    260. ( )2

    2cos 3x dx−

    261. 2

    2

    xdx

    x −

    262. ( )

    1

    3

    1 e xxdx

    x

    +

    263. 4 1x

    dxx

    +

    264.

    ( )3

    22

    1

    1

    dx

    x−

    265. 2

    2 1

    x

    xdx

    +

    266. ( )2 1 2 3x x dx− −

    267. 5

    3

    9

    1

    xdx

    x +

  • Created by T. Madas

    Created by T. Madas

    268. ( )2

    3sin cosx x dx−

    269. 2

    4

    10

    xdx

    x −

    270. 3

    3

    4e

    1 e

    x

    xdx

    −

    271. ( )1 cos sin cosx x x dx−

    272. ( )2

    tan 1x dx−

    273. 1 e

    1 e

    x

    xdx

    +

    −

    274. 4sin 2 cos 2x x dx

    275. 1

    sin cosdx

    x x

    276. 2

    1

    sin cosdx

    x x

    277. 1

    1 sindx

    x−

    278. 1

    e 1x

    dx

    +

    279. ( )1 sin sin 2x x dx+

    280. sec tanx x x dx

  • Created by T. Madas

    Created by T. Madas

    281. sin3 cos2x x dx

    282. ( )

    2

    1 2

    2 ln

    xdx

    x x x

    −

    −

    283. 1

    42 ex

    x dx−

    284. 4

    4

    xdx

    x

    +

    −

    285. ( )3

    22 33 4 2x x dx−

    286. 1x x dx+

    287. 3 2

    1

    2 3

    xdx

    x x

    +

    + +

    288. sin 2 cosx x dx

    289. sin 2 cos2x x dx

    290. 3

    3 1

    x

    xdx

    +

    291. tan

    tan sec

    xdx

    x x−

    292. ( )

    2ln x

    dxx

  • Created by T. Madas

    Created by T. Madas

    293. ( )

    ( )( )

    2

    2

    8 1

    3 1

    x

    dx

    x x

    +

    − +

    294. 31

    x dxx

    295. ( )( )4

    21 2 1x x x dx+ + −

    296. 4sin cosx x dx

    297. 2

    2 6

    6 1

    xdx

    x x

    +

    + +

    298. ( )

    1

    4dx

    x x −

    299. tan

    1 cos2

    xdx

    x+

    300. 2 2cos sinx x dx

    301. 3

    2

    3 5

    1

    x xdx

    x

    +

    +

    302. 2sin 2x dx

    303. 2

    cos2

    cos

    xdx

    x

    304. 3sec tanx x dx

    305. ( )2

    ln 1x x dx −

  • Created by T. Madas

    Created by T. Madas

    306. 2

    35

    xdx

    x +

    307. 2 1

    3 1

    xdx

    x

    +

    −

    308. ( )4

    23x x dx+

    309. 2 2

    9

    9

    dx

    x x−

    310. 3

    cos

    sin

    xdx

    x

    311. 3

    1 2

    xdx

    x

    −

    + −

    312. 2

    4

    4

    xdx

    x

    −

    −

    313. 2sin

    cos sin

    xdx

    x x+

    314. ( )2

    21 x dx

    −−

    315. 2

    tan

    cos

    xdx

    x

    316. ( )2

    3sin cosx x dx+

    317. ( )

    2

    3

    sec

    1 tan

    xdx

    x+

    318. 2 2

    1

    cos sin

    dx

    x x

  • Created by T. Madas

    Created by T. Madas

    319. cot 2x dx

    320. 2x dx

    321. sin sin cos

    1 cos

    x x xdx

    x

    +

    −

    322. 4

    1

    cos

    dx

    x

    323. sin cos

    1 cos2

    x xdx

    x+

    324. 2

    ln xdx

    x

    325. ( )2 1sin cos 2x x dx

    326. 3

    e 1

    e 1

    x

    xdx

    +

    +

    327. 1

    xdx

    x −

    328. 2 3x x dx

    329. 2 13 x dx+

    330.

    3

    2

    5

    2

    2 1

    2

    xdx

    x x

    +

    +

    331. ( )

    1

    1

    dx

    x x+

  • Created by T. Madas

    Created by T. Madas

    332. 1

    xdx

    x −

    333. ( )2

    1

    1

    dx

    x x+

    334. 4sin sin 2x x dx

    335. ( )2

    tan cotx x dx+

    336. 2

    2

    2 2

    2 2

    x xdx

    x x

    + −

    − +

    337. sin cosx x x dx

    338. 3sec tanx x dx

    339. 1

    cosec cotdx

    x x−

    340.

    1

    4

    5

    4

    2 1

    4 4

    xdx

    x x

    +

    +

    341. ( )ln 1x

    dxx

    −

    342. eex

    xdx

    +

    343.

    ( )2

    1

    1

    dx

    x x+

  • Created by T. Madas

    Created by T. Madas

    344. 2 e xx dx−

    345. e

    x

    dxx

    346. e xx dx

    347. ( )( )

    24 1

    1 2 1

    x xdx

    x x

    − +

    − −

    348. e cosx x dx

    349. 2

    2

    5

    5 3

    x

    xdx

    +

    350. 5

    3

    3

    1

    xdx

    x −

    351. 2

    2

    4 2

    xdx

    x x

    −

    − −

    352. ( ) 2

    1

    1 1

    dx

    x x− −

    353. 3 2

    2

    3 10 3

    3

    x x xdx

    x

    − + −

    +

    354.

    ( )3

    22

    4

    4

    dx

    x+

    355. ( )

    2

    2

    1

    1

    xdx

    x

    +

    +

  • Created by T. Madas

    Created by T. Madas

    356. 2

    cos tan

    1 tan

    x xdx

    x

    +

    +

    357. 1 x

    dxx

    +

    358. 3 4

    4

    4 1

    1 1

    x xdx

    x

    +

    + +

    359. ( )2

    ln x dx

    360. 18cos sin 2x x dx

    361. 5 2

    1dx

    x x+

    362. ( )22

    sin cos 1x x dx+ −

    363. ( )sin cosx x x dx+

    364. 1

    2 3

    1 1e x dx

    x x

    +

    365. 4

    sec

    tan

    xdx

    x

    366. ( )

    3

    cos

    cos sin

    xdx

    x x+

    367. 2

    20

    4

    xdx

    x−

  • Created by T. Madas

    Created by T. Madas

    368. 1

    xdx

    x+

    369. ( )2 2sec cosecx x x dx−

    370. 2

    4 4

    2 1

    x xdx

    x

    +

    +

    371. 2tanx x dx

    372. 2cos 3x x dx

    373. ( )2

    3cos 6sin 2sin3x x x dx−

    374. 2 4x x dx−

    375. 3 2

    3

    6

    xdx

    x x

    +

    +

    376. 1

    1

    xdx

    x

    −

    −

    377. 1

    cosec2 cot 2dx

    x x−

    378. 3 5sec tanx x dx

  • Created by T. Madas

    Created by T. Madas


INTEGRALS - samagra.itschool.gov.in · ∫ f x dx( ) Integral of f with respect to x f(x) in ... –1 2 sin C 1 dx x – x

INTEGRALS - samagra.itschool.gov.in · ∫ f x dx( ) Integral of f with respect to x f(x) in ... –1 2 sin C 1 dx x – x

Documents
Contents · 2020. 9. 11. · 10. Z (1+sinx)dx 11. Z (5sec2 x+cosec2x)dx 12. Z sin2x cosx dx 13. Z secx sec2 x−1 dx 14. Z (1+sinx+8cosx)dx 15. Z (15 √ 1−x2 − 21 1+x2)dx 16

Contents · 2020. 9. 11. · 10. Z (1+sinx)dx 11. Z (5sec2 x+cosec2x)dx 12. Z sin2x cosx dx 13. Z secx sec2 x−1 dx 14. Z (1+sinx+8cosx)dx 15. Z (15 √ 1−x2 − 21 1+x2)dx 16

Documents
1. 2. 3. · 3sinx 4cOSX+5 dx 3) farcslnxdx 6) fsin23x dx e) 5) f xú7õdx 3) fx2arcfg3xdx C x3-x2-5X4f2 dx cos . dx x -25 x5-x2-3x-f dx 6) fsin3xcos3xdx 4) 3x2+2X+/ dx J x(x2+2X+f)

1. 2. 3. · 3sinx 4cOSX+5 dx 3) farcslnxdx 6) fsin23x dx e) 5) f xú7õdx 3) fx2arcfg3xdx C x3-x2-5X4f2 dx cos . dx x -25 x5-x2-3x-f dx 6) fsin3xcos3xdx 4) 3x2+2X+/ dx J x(x2+2X+f)

Documents
DERIVATIVES 3. Summary f(x) ≈ f(a) + f’(a)(x – a) L(x) = f(a) + f’(a)(x – a) ∆y = f(x + ∆x) – f(x) dx = ∆x dy = f’(x)dx ∆ y≈ dy

DERIVATIVES 3. Summary f(x) ≈ f(a) + f’(a)(x – a) L(x) = f(a) + f’(a)(x – a) ∆y = f(x + ∆x) – f(x) dx = ∆x dy = f’(x)dx ∆ y≈ dy

Documents
Differential Geometry Jay Havaldar v[x] = dx dx v1 + dx dy v2 + dx dz v3 = v1 Intermsofthegradient: dx= v[x] = (1;0;0) v= v1 In other words, the differentialdxis a function which sends

Differential Geometry Jay Havaldar v[x] = dx dx v1 + dx dy v2 + dx dz v3 = v1 Intermsofthegradient: dx= v[x] = (1;0;0) v= v1 In other words, the differentialdxis a function which sends

Documents
s3-ap-southeast-1.amazonaws.com · x.e dx dx x Bài 16 Tính tích phân: dx dx 4-3x 0 In 2 dx x2 dx Bài 15: Tính tích phân: tan xdx sin x dx I + cos x Bài 14: Tính tích phân:

s3-ap-southeast-1.amazonaws.com · x.e dx dx x Bài 16 Tính tích phân: dx dx 4-3x 0 In 2 dx x2 dx Bài 15: Tính tích phân: tan xdx sin x dx I + cos x Bài 14: Tính tích phân:

Documents
COMPUTER BASED TEST (CBT) Memory Based Questions & … · x2= 4b(y + b), tgk¡ b ,d izkpy gS] dk vody lehdj.k gksxk % (1) 2 2 x dx dy 2 dx dy x (2) x dx dy 2y dx dy x 2 (3) 2 2 x

COMPUTER BASED TEST (CBT) Memory Based Questions & … · x2= 4b(y + b), tgk¡ b ,d izkpy gS] dk vody lehdj.k gksxk % (1) 2 2 x dx dy 2 dx dy x (2) x dx dy 2y dx dy x 2 (3) 2 2 x

Documents
COMPUTER BASED TEST (CBT) Memory Based Questions & …€¦ · x.dM M 1 dM = .dx = x 2 a b . dx x cm = dM xdM = dx x dx 0= 0 2 2 2 2 dx bx a dx bx x a 0 0= 0 3 0 2 4 2 2 3 b x a(x)

COMPUTER BASED TEST (CBT) Memory Based Questions & …€¦ · x.dM M 1 dM = .dx = x 2 a b . dx x cm = dM xdM = dx x dx 0= 0 2 2 2 2 dx bx a dx bx x a 0 0= 0 3 0 2 4 2 2 3 b x a(x)

Documents
Lec1,2. Week1. 133 Sec61, F17 - Michigan State University · Lec1,2. Week1. 133 Sec61, F17 13. Math133-Table of (Inde nite) Integral Z cf(x)dx = c Z f(x)dx Z [f(x)+ g(x)]dx = Z f(x)dx+

Lec1,2. Week1. 133 Sec61, F17 - Michigan State University · Lec1,2. Week1. 133 Sec61, F17 13. Math133-Table of (Inde nite) Integral Z cf(x)dx = c Z f(x)dx Z [f(x)+ g(x)]dx = Z f(x)dx+

Documents
 · Section 3.6 dx dx = 4 — = (4 — = 16 — 8 x = — ... 2x — = y' (2x — — (y5 + x2Y3) = 10. dx y/ (5y4 + 3x2y2 _ 2x — 3y2) y' = 2x — 3y2 dx 4) = 4x3y — 2xy3 x 4x3y

 · Section 3.6 dx dx = 4 — = (4 — = 16 — 8 x = — ... 2x — = y' (2x — — (y5 + x2Y3) = 10. dx y/ (5y4 + 3x2y2 _ 2x — 3y2) y' = 2x — 3y2 dx 4) = 4x3y — 2xy3 x 4x3y

Documents
xy y2 dx x

xy y2 dx x

Documents
bachcienciasvallejo.combachcienciasvallejo.com/files/2015/...Integrales.pdf · Integrales indefinidas 2 cos x dx 24 dx dx dx (2ex — 3X2) dx dx a) b) d) ex-2 dx + 7) dx dx dx dx

bachcienciasvallejo.combachcienciasvallejo.com/files/2015/...Integrales.pdf · Integrales indefinidas 2 cos x dx 24 dx dx dx (2ex — 3X2) dx dx a) b) d) ex-2 dx + 7) dx dx dx dx

Documents
books.ifmo.rubooks.ifmo.ru/file/pdf/261.pdf · 7 sin3 x cos2 x dx ( ) D * ' u = cosx ( * % sin3 x cos2 x dx = − sin2 x cos2 x dcosx = − 1− cos2 x cos2 x dcosx = = − 1− u2

books.ifmo.rubooks.ifmo.ru/file/pdf/261.pdf · 7 sin3 x cos2 x dx ( ) D * ' u = cosx ( * % sin3 x cos2 x dx = − sin2 x cos2 x dcosx = − 1− cos2 x cos2 x dcosx = = − 1− u2

Documents
FINITE DIFFERENCE AND PDE - kuliah.ftsl.itb.ac.id · What is a finite difference? Common definitions of the derivative of f(x): dx f x dx f x f dx ... forward difference backward

FINITE DIFFERENCE AND PDE - kuliah.ftsl.itb.ac.id · What is a finite difference? Common definitions of the derivative of f(x): dx f x dx f x f dx ... forward difference backward

Documents
Mat 266 Summer 2010 - Arizona State Universityfiroz/m266/266ch_6.pdf · sin3xsin6xdx. Use formula 2sin cos(A B ) Thus we have sin3 sin6 1/2(cos3 cos9 ) 1/6sin3 1/18sin9x xdx x x dx

Mat 266 Summer 2010 - Arizona State Universityfiroz/m266/266ch_6.pdf · sin3xsin6xdx. Use formula 2sin cos(A B ) Thus we have sin3 sin6 1/2(cos3 cos9 ) 1/6sin3 1/18sin9x xdx x x dx

Documents
Web view1. 1 0 p x dx+ 1 3 p x dx = -3+3=0 (write 1 0 p x dx=-3 ) ii 1 3 p x -k x 3 dx=26 . 3 - k (20)=26 (marks for each integral) k = -23 20

Web view1. 1 0 p x dx+ 1 3 p x dx = -3+3=0 (write 1 0 p x dx=-3 ) ii 1 3 p x -k x 3 dx=26 . 3 - k (20)=26 (marks for each integral) k = -23 20

Documents
Today: 6.2 Trig substitution · Today: 6.2 Trig substitution Warm up: 1.Calculate the following integrals. (a) Z cos2(x) dx (b) Z cos2(x)sin2(x) dx (c) Z cot2(x) dx (d) Z tan3(x)

Today: 6.2 Trig substitution · Today: 6.2 Trig substitution Warm up: 1.Calculate the following integrals. (a) Z cos2(x) dx (b) Z cos2(x)sin2(x) dx (c) Z cot2(x) dx (d) Z tan3(x)

Documents
math3b HWch7 integration ∫ 3 cos3 x sin5 x dx 25) ∫ 2 sin3 x cos5 x dx 26)!/3 0 ∫ tan x sec4 x dx 27) ∫ 2 csc3 x cot x dx 28) ∫ 49 - x2 dx 29) dx (x2 + 81)3/2 ∫ 30) dx

math3b HWch7 integration ∫ 3 cos3 x sin5 x dx 25) ∫ 2 sin3 x cos5 x dx 26)!/3 0 ∫ tan x sec4 x dx 27) ∫ 2 csc3 x cot x dx 28) ∫ 49 - x2 dx 29) dx (x2 + 81)3/2 ∫ 30) dx

Documents
power integrals - uni-marburg.de · x3 +x2 +x+1 x2 = 1 2 x2 +x− 1 x +logx Z dx ... rational integrals substitution Z dx x x2 −1 3 = 1 8 x2 −1 4 Z dx x2 ... dx 1 x2 +x+1 = 2

power integrals - uni-marburg.de · x3 +x2 +x+1 x2 = 1 2 x2 +x− 1 x +logx Z dx ... rational integrals substitution Z dx x x2 −1 3 = 1 8 x2 −1 4 Z dx x2 ... dx 1 x2 +x+1 = 2

Documents
Midterm Review. Calculus Derivative relationships d(sin x)/dx = cos x d(cos x)/dx = -sin x

Midterm Review. Calculus Derivative relationships d(sin x)/dx = cos x d(cos x)/dx = -sin x

Documents
Section 7.6 Solutionsfaculty.oprfhs.org/cavalos/Book Chapters and Book Solutions/CATA...cos 3 7 cos 2 7 2sin sin()() 37 2 7 37 2 7 22 757 7 57 2sin sin 2sin sin 22 2 2 xx x x xx x

Section 7.6 Solutionsfaculty.oprfhs.org/cavalos/Book Chapters and Book Solutions/CATA...cos 3 7 cos 2 7 2sin sin()() 37 2 7 37 2 7 22 757 7 57 2sin sin 2sin sin 22 2 2 xx x x xx x

Documents
HIGHLIGHTS - jkshahclasses.com - … · 8 10. y = (9x3 1). tan x Differentiating wrt x ; dy = (9x3 1). d tan x + tan x d (9x3 1) dx dx dx = (9x3 1) . sec2 x + tan x . 27x2 = (9x3

HIGHLIGHTS - jkshahclasses.com - … · 8 10. y = (9x3 1). tan x Differentiating wrt x ; dy = (9x3 1). d tan x + tan x d (9x3 1) dx dx dx = (9x3 1) . sec2 x + tan x . 27x2 = (9x3

Documents
Epithelial water transport in a balanced gradient system · dce(x) 1 dp(x De dx(x)=+CXce(x)-os(x) Pe dx 1 dp¢(x) Pe dx where De is the effective diffusion coefficient for solute

Epithelial water transport in a balanced gradient system · dce(x) 1 dp(x De dx(x)=+CXce(x)-os(x) Pe dx 1 dp¢(x) Pe dx where De is the effective diffusion coefficient for solute

Documents
Answers for NSSH exam paper 2 type of questions, based on ... for NSSH exam pa… · 7 (b) Find ln(3 1) 3 2 2 3 1 1 3 1 2 x dx x dx x 8. dx x dx x x c x dx x x 2 1 2 4 2 ln 4 1 2

Answers for NSSH exam paper 2 type of questions, based on ... for NSSH exam pa… · 7 (b) Find ln(3 1) 3 2 2 3 1 1 3 1 2 x dx x dx x 8. dx x dx x x c x dx x x 2 1 2 4 2 ln 4 1 2

Documents
Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)

Mathematics Paper - 2012 - Set - 1 - CBSEcbse.nic.in/curric~1/qp2012/SamplePaperX11/Set1/...6. 2 dx 4 Evaluate 2 dx 4 ex (tan x + I) sec x dx = ex f(x) + c f(x) t I ex (tan x + 1)

Documents
RICAMBI EBAC STEERING COMPONENTS · afp1041 dx-rh 24 x 1,5 dx 330 23,5-26,4 22 x 1,5 dx 24 x 1,5 dx 32 140 rh 1 : 10 rh rh afp1040 dx-rh 24 x 1,5 dx 360 23,5-26,4 22 x 1,5 dx 24 x

RICAMBI EBAC STEERING COMPONENTS · afp1041 dx-rh 24 x 1,5 dx 330 23,5-26,4 22 x 1,5 dx 24 x 1,5 dx 32 140 rh 1 : 10 rh rh afp1040 dx-rh 24 x 1,5 dx 360 23,5-26,4 22 x 1,5 dx 24 x

Documents
& Conducted I - CH - 11... · 6 01. y = x . tan x Differentiating wrt x ; SUMS ON PRODUCT RULE dy = x d tan x + tan x . d x dx dx dx

& Conducted I - CH - 11... · 6 01. y = x . tan x Differentiating wrt x ; SUMS ON PRODUCT RULE dy = x d tan x + tan x . d x dx dx dx

Documents
cristobalespino.escristobalespino.es/MAT2/153-Integrales.pdf · c) ∫x cos 3x dx ∫x cos 3x dx = sen 3x – ∫sen 3x dx = sen 3x + cos 3x + k d)∫x5 e–x3 dx = ∫x3 · x2 e–x3

cristobalespino.escristobalespino.es/MAT2/153-Integrales.pdf · c) ∫x cos 3x dx ∫x cos 3x dx = sen 3x – ∫sen 3x dx = sen 3x + cos 3x + k d)∫x5 e–x3 dx = ∫x3 · x2 e–x3

Documents
³( ) sec tgx x c xdx x tgx C ³ xdx x ctgx C ³³ ³ sec sec x ...file.koolearn.com/20161011/14761763943131.pdf · cos sin 122xx cos sin cos222x x x 2sin cos sin 2x x x 1 cos2 2sin

³( ) sec tgx x c xdx x tgx C ³ xdx x ctgx C ³³ ³ sec sec x ...file.koolearn.com/20161011/14761763943131.pdf · cos sin 122xx cos sin cos222x x x 2sin cos sin 2x x x 1 cos2 2sin

Documents
Integrals - Byju's · 3 2 11. 2 x x –5 4 dx x 12. x x3 3 4 dx x 13. 3 2 1 1 x x x– dx x– 14. (1 )–x xdx 15. x x x dx(3 2 3)2 16. (2 3cos )x– x e dx x 17. (2 3sin 5 )x –

Integrals - Byju's · 3 2 11. 2 x x –5 4 dx x 12. x x3 3 4 dx x 13. 3 2 1 1 x x x– dx x– 14. (1 )–x xdx 15. x x x dx(3 2 3)2 16. (2 3cos )x– x e dx x 17. (2 3sin 5 )x –

Documents