How do I evaluate the integral #int7x^2 ln(x) dx#?
I'd use integration by parts: since
When you have to integrate the product of two functions, integration by parts is often a good strategy: if one of the two factors is easily integrable/derivable, you can try and see if the integral becomes easier. In your case, I'd use the fact that
So, we have the following:
And using the equation labeled as
The andantage is evident: the integral of