The intregral yours considers is sin^4(x) dx Please answer both parts!!

continued ) C. [12 pts] Another way to evaluate the integral is to derive the reduction formula sin" (x) dx = -- cos(x) sin" -1(x) + -1 sinn -2 (x) dx, which is valid for all n 2 2. Derive this by following these steps. i. [4 pts] Use integration by parts to show that sin" (x) dx = - cos(x) sin"-1(x) + (n - 1) sin" -2(x) cos? (x) dr. ii. [2 pts] Use the identity cos?(x) = 1 - sin?(x) in the integral to conclude that sin" (x) dx = - cos(r) sin" -1(x) + (n -1) sin"-2(x) dx - (n - 1) sin" (x) dr