I have to find the value of:

INTEGRATION[ f'(x) ((f(x))^3 -3f(x)-5) dx ]

with upper boud 6 and lower bound 4

given that

f(4) = 1, f '(4) = -7, f(6) = 2 and f '(6) = 2

So i tried the following which i dont think is right?

2((2)^3 - 3 * 2 - 5) - (-7) - 3 * 1 - 5)