Evaluate the following integral:
Let
Sin x = t
Cos x dx = dt
1 = A(1 – t)2(2 + t) + B(1 – t)(2 + t) + C(2 + t) + D(1 – t)3
Put t = 1
1 = 3C
Put t = – 2
1 = 27D
Put t = sin x