Question

Or, this integral (cos^(3)x)/2-2sin^(2)x dx

Answer 1

First simplify the denominator:
2-2sin^(2) x
1) factor out the twos : 2(1-sin^(2)x)
2) Apply identity : 2(cos ^(2) x)

Now cancel out the cos ^(2)x and the cos^(3)x which will give you:
integral (cos x/2 dx) which evaluates to be 1/2 sin x + C