My professor gave me this one.

MAT 1740 – Assignment #1 Name:

Due: 9/22at the beginning of class. Remember to include all details as listed in the “How To” worksheet for application problems for full credit.

1. Find the exact volume of the solid formed by revolving the region bounded byx= 0, , andy= 0 about thex-axis using

a) a vertical representative element (analytically).

Ok. Everything here is straightforward except for one little thing:

How in the hEck do I go about integrating sec(x)?

I know that I must have missed something here because we haven't done anything like this before.

I'm stuck. We haven't done trig sub. yet, so I'm at a loss. No u-substitution that I can think of is helping. If I could just get a little nudge from somebody, that'd be grrrrrrrrrreeeat! Thanks.