Find the volume of the solid bounded by the cylinder y^2 + z^2=4 and the planes x=2y, x=0, z=0 in the first octant.

We were told to use a trig sub for this problem, letting y=2cos(theta). How would you change the bounds of integration from y to theta?

Question

Find the volume of the solid bounded by the cylinder y^2 + z^2=4 and the planes x=2y, x=0, z=0 in the first octant.

We were told to use a trig sub for this problem, letting y=2cos(theta). How would you change the bounds of integration from y to theta?

anonymous · Answer

i think that theta would range from 0 to pi

anonymous · Answer

is there a certain process you go through to get those bounds?