Question

Evaluate the limit

Answer 1

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

Answer 2

limit?
or integral?

Answer 3

haha oh integral... used to saying limit

Answer 4

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

Answer 5

okay I'll try that thanks

Answer 6

\[\int\limits_{}^{}fg'=fg- \int\limits f' g\]

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 :)