find the area bounded by the spiral on the interval ≤ ≤
(A) 2.405
(B) 2.931
(C) 3.743
(D) 4.810
(E) 7.487
The area of a polar curve is given by . You'll have to integrate by parts twice to evaluate the integral.
As a check, the area can be approximated by the area of a semicircle of radius , which is .
Post again in this thread if you're still having trouble.
- Hollywood