Question

Ellipse given by y = a cos(t), x = b sin(t). find the volume of revolution. can get to V = integral of cos^3 (t) dt x a^2 * pi * b, but how do i choose my limits of integration?

Answer 1

revolution along which axis??

Answer 2

x

Answer 3

x=b sin(t), the max value of x is +b and the min value of x is -b
so you limit of integration is -b to b, if x = b, t = pi/2 and if x=-b, t=-pi/2

there you have your limit of integration!!!