Question

y = 5 Sin^2(x)
0 <= x <= pi ... about x-axis
Find volume by rotating around the region

Medal for showing me how to do this! :)

Answer 1

I thought this was be appropriate for the disc method. I squared the function and multiplied by pi to solve the area. However when I get to sin^4x I get stuck.

I can only think of some identities. sin(2x)..? Someone please help! :(

Answer 2

\[\int\limits_{0}^{\Pi}\left(( 5\sin^2x)^2 \right)*\]

Answer 3

pi

Answer 4

?.. this is what I typed, I am looking to integrate and solve, if you cannot help, please don't respond :)

Answer 5

5sin^2x*5sin^2x=25sin^4x^2
25sin^4(pi)^2-25sin^4(0)^2*pi

Answer 6

no...