1) Use the reduction formula to show that 1/2 I/2 | sin" .xdx = n-1 = sin"-2 xdx 0 n 2) Use the reduction formula to compute sin" xdx for n=2, 3, 4, and 5. 3) Use your observations from question two above to show that for odd powers of sine 2.4.6.....2n 1/2 sin2+(x)dx= = 3.5.7... (2n+1) 4) Use your observations from question two above to show that for even powers of sine 1.3.5.... (2n-1)л #12 sin²" (x)dx= 0 2.4.6 (2n) 2