Find the integral:8x^7+6/(x^8+6x)^2

I got ln(x^8+6x)^2 but apparently that is wrong.

it surely is wrong

If u = x^8 + 6x, then you have

du/u^2

integral is -1/u

try taking the derivative of ln(u^2) and see what you get. Don't forget the chain rule.