What is the area under the polar curve f(theta) = theta over [0,2pi]?

1 Answer

The area is given by the formula

A=1/2 int_(0)^(2pi) f(theta) d(theta)=> A=1/2 int_(0)^(2pi) theta d(theta)=> A=1/4 [theta^2]_0^(2pi)=pi^2