## KatClaire 2 years ago Evaluate the limit

1. KatClaire

$I= \int\limits_{}^{} x^2 \ln (x^2)dx$

2. myininaya

limit? or integral?

3. KatClaire

haha oh integral... used to saying limit

4. myininaya

Use that ln(x^2)=2 ln(x) Then use integration by parts.

5. KatClaire

okay I'll try that thanks

6. myininaya

$\int\limits_{}^{}fg'=fg- \int\limits f' g$ Choose the function you take the antiderivative of to be x^2 Choose the function you take derivative of to be ln(x) At the end don't forget to bring that constant multiple 2 down :)