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SATPREP Assignment : Integration by Substitution -4

Integration by Substitution-4 file4 1 4 1 2 x Sin O) C 8 Sin 12 x x Sin — 12 sin 4x cos 7 x + — cos x + C cos6 x 2 tan cos4 x + C cos cos 1 cos 6x 6 1 sin 4x cos 4x sin 12x cos2x

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Page 1: Integration by Substitution-4 file4 1 4 1 2 x Sin O) C 8 Sin 12 x x Sin — 12 sin 4x cos 7 x + — cos x + C cos6 x 2 tan cos4 x + C cos cos 1 cos 6x 6 1 sin 4x cos 4x sin 12x cos2x

SATPREPAssignment:IntegrationbySubstitution-4

Page 2: Integration by Substitution-4 file4 1 4 1 2 x Sin O) C 8 Sin 12 x x Sin — 12 sin 4x cos 7 x + — cos x + C cos6 x 2 tan cos4 x + C cos cos 1 cos 6x 6 1 sin 4x cos 4x sin 12x cos2x

Answer

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· 2 cot 4x 2 tan x + sec x x2 cos 2x 1 + sin x cos x tan 4 3x cos 2x f'(x) = (x + cos x)2 — + COS — (it) — 2 — + COS 2. 8. 11. 14. 20. 1 — sin — cos 3x y — —cosec

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