Question

1) Set up, but do not evaluate, an integral to find the volume when the region...

1) Set up, but do not evaluate, an integral to find the volume when the region bounded by y=1, y=tanx and the y-axis is rotated about the following lines:

a) The x-axis

b) The y-axis

c) The line y=2

d) The line x=3

e) The line x= -1

2) Set up, but do not evaluate, an integral to find each of the following:

a) The volume that results when the region in the first quadrant bounded by y=sinx, y=1 and the y-axis is rotated about the x-axis.

b) The volume that results when the region that is bounded by y=x3 , y=8 and the y-axis is rotated about the y-axis. c) The volume when the region bounded by y=ex , x=1, the x-axis and the y-axis is rotated about the line x=4

Math   Calculus   
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Answer #1

There are more than one ways to do this. I have generally followed the disc / washer method.

Do come back for any query.

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