Question

Which one or ones of the following integrals produces the area that lies inside the circle r = 3 sin θ and outside the cardioid r = 1 + sin θ? (10 points)

I. 1/2 the integral from pi/6 to 5pi/6 of 9*sin^2 theta minus (1 + sin theta)^2 d theta
II. the integral from pi/ 6 to pi/2 of 9*sin^2 theta minus (1 + sin theta)^2 d theta
III. 1/2 the integral from 0 to pi/6 of 9*sin^2 theta minus (1 + sin theta)^2, d theta plus 1/2 the integral from 5pi/6 to pi of 9sin^2 theta minus (1 + sin theta)^2, d theta

A) I only
B) I and II only
C) II only
D) III only

Answer 1

geez - again?
B