Differentiating Logarithms Question... (1 Viewer)

[teanido]

Given that we may write x/[(x+4)^2] as [(x+4)-4]/[(x+4)^2]

Evaluate [integral]1-0 of x/[(x+4)^2]

I'm stumped, I got up to splitting it into seperate fractions, however how do I integrate -4/[(x+4)^2]

 

[webby234]

integral of -4/(x + 4)²

= -4 times the integral of (x + 4)^-2
= -4(x + 4)^-1/-1
= 4/(x + 4)