(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let R be the region in the 1st quadrant in the region enclosed by [tex]x=2cos(\theta)[/tex] and [tex]y=sin(2\theta)[/tex] Suppose R is rotated around the x-axis.

Find the volume of the resulting solid.

2. Relevant equations

The formula for the solid of revolution is:

[tex]V= \pi\int y^2 dx = \pi\int y^2 f(x)' dx [/tex]

I've included a picture of the graph below.

http://dimitrix.org/graph.JPG [Broken]

3. The attempt at a solution

I plugged in the numbers into the formula and factored out the constants, but am now stuck with this crazy integral, did I do something wrong? I'm doing an introductory integral course, should I be able to solve these kind of integrals you think?

[tex] V= -2\pi\int Sin^2(2\theta) Sin(\theta) d\theta [/tex]

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# Homework Help: Trig problem involving parametric equations

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