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



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