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 Subject: Volume of Revolution Problem Category: Science > Math Asked by: jeremit-ga List Price: \$25.00 Posted: 25 Sep 2006 15:18 PDT Expires: 26 Sep 2006 09:20 PDT Question ID: 768353
 ```The region is bounded by the curves y=cosx, y=e^-3\2x, x=o and is revolved about the x-axis. The first point at which the curves intersect in the first quadrant is revolved about the x-axis. Here is the graph setup that I derived from the given information: http://img137.imageshack.us/my.php?image=washergraphjk7.jpg I can see that this has to be solved using the washer method due to the hole that would result in the center.....so the equation for the washer method is: http://img137.imageshack.us/my.php?image=washereqnap7.jpg and the values for the definite integral are found by taking the x values where the two graphs intersect. I was wondering if I this was the correct setup to solve the equation: http://img105.imageshack.us/my.php?image=washersetupue9.jpg I wasn't really sure if I setup this right because it seems like the definite integral was more complicated than it needed to be and ran into some trouble while trying to solve it.```
 ```your setup looks correct to me. recheck your integration; the integral you have is not that hard to do. break into two terms; integral of pi*cos^2(x)dx, and integral of pi*e^(-3x)dx. each integral is fairly easy to do. -cab```
 ```ohhhhhhhhhhh ok. I don't know why it didn't cross my mind to break up the integrals. Im the one who made it harder than it needed to be.```