(906, #25) Find the exact value of , where C is a the part
of the astroid in the first quadrant.

Solution: Put in the parametric values for x, and y. Substitute ds with:

Then the line integral is equal to:

The last integral can be evaluated using Maple.

3*int((cos(t))^10 * sin(t)^16,t=0..Pi/2);

(945 / 1677216) Pi

by C.A.H.