Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3 sin(x), y = 3 cos(x), 0 ≤ x ≤ π/4; about y = −1
I had a start of
π ∫ from 0 to π/4 (3cosx+1)^2 - (3sinx+1)^2 dx
Does this look like a good start?
If so, how shoulda I deal with teh integration of those big chunks of cos^2 and sin^2. It is a bit intimidating.
Sorry for the formatting, not familiar with this site yet :<
