Substitution before integration by parts for ∫ln(x+x²)dx

[abc923]

Hi I just started calc 2 and am stuck on a problem. integral ln(x+x^2)dx. They want to use substitution prior to integrate by parts, but I'm completely stuck. Can anyone help explain how to solve?

 

[Dick]

Hi I just started calc 2 and am stuck on a problem. integral ln(x+x^2)dx. They want to use substitution prior to integrate by parts, but I'm completely stuck. Can anyone help explain how to solve?

I'd use the rules of logs first. Factor. x^2+x=(x+1)*x. So? How can you write log(x^2+x) in a simpler way?