Please be sure to complete i & ii

(Problem 2 continued ) B. [10 pts] There is another way to compute the integral that we did not discuss in class, which involves deriving a reduction formula, which related the integral of a power of a function to an expression plus the integral of a lower power of the same function. Follow the steps below to do this. i Show that sin" (x) da = -- sinn-1(x) cos(x) + sinn-2(x) dx. n Hint: Write / sin" (x) dx = sin"-1(x) . sin(x) da and apply integration by parts. Then, utilize relevant trig identities to conclude that sin" (x) dx = (some nonzero function) + (constant) ~ sin" (x) dx and solve this equation for / sin" (x) dx. ii. Apply the reduction formula twice to compute sin (x) dx