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

I need to find the region bounded by these curves then find the volume of the solid generated by revolving this region about the x-axis.

y= cscx, x= 1/4pi, x = 3/4pi, y=0

2. Relevant equations

3. The attempt at a solution

So I managed to sketch this region.. but I have trouble finding the anti-derivative at the end.. so it looks like this:

[tex]

V = \pi \int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} [(cscx)^2 - (0)^2]dx

= \pi \left[ -cotx \right]_{\frac{\pi}{4}}^{\frac{3\pi}{4}}

= \pi(-cot(\frac{3\pi}{4})-(-cot(\frac{\pi}{4}))

= -3+1 = -2??

[/tex]

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# Homework Help: Volume of solid by cross-section question?

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