Question

Set up the integral (you don’t need to carry out the integration) to calculate the area of the circle traced out by r = 6 cos θ as an integral in polar coordinates.

Answer 1

∫ (1/2) (6cosx)^2 dx, from -pi/2 to pi/2

Answer 2

Thank you so much, how did you know the interval?

Answer 3

when r = a cos(θ) is a circle with diameter a, and -pi/2 <= θ <= pi/2 will trace a full circle