Final Test ReviewLast Chance for Sticky Ball!!!

Problem 1

Evaluate: 3 cosx xdx

Problem 1

Evaluate: 3 cosx xdx

Problem 2

Evaluate:

12

0

xxe dx

Problem 2

Evaluate:

12

0

xxe dx

Problem 3

Use the shell method to find the volume of the solid generated by rotating the region bounded by y = sinx and y = 0 on the intervalabout the y – axis.

0 x

Problem 3

Use the shell method to find the volume of the solid generated by rotating the region bounded by y = sinx and y = 0 on the intervalabout the y – axis.

0 x

Problem 4

Set up but do not solve the following: Use the shell method to find the volume of the solid generated by rotating the region bounded by y = sinx and y = 0 on the intervalabout the line x = 5.

0 x

Problem 4

Set up but do not solve the following: Use the shell method to find the volume of the solid generated by rotating the region bounded by y = sinx and y = 0 on the intervalabout the line x = 5.

0 x

Problem 5

Use shell method to find the volume of the solid generated by rotating the region bounded by , x = 2, and the x-axis about the x-axis.

1y x

Problem 5

Use shell method to find the volume of the solid generated by rotating the region bounded by , x = 2, and the x-axis about the x-axis.

1y x

Problem 6

Find the limit: 20

ln(1 )limx

x x

x

Problem 6

Find the limit: 20

ln(1 )limx

x x

x

Problem 7

Find the limit: sin

limsin 2x

x

x

Problem 7

Find the limit: sin

limsin 2x

x

x

Problem 8

Find the limit: 1

1 1lim

ln 1x x x

Problem 8

Find the limit: 1

1 1lim

ln 1x x x