# Evaluate integral of x to the power of two natural log of x with respect to x

Evaluate integral of x^2 natural log of x with respect to x
Integrate by parts using the formula , where and .
Simplify.
Combine and .
Combine and .
First, multiply and .
The common factor should be canceled of and .
Factor out of .
The common factors should be canceled.
Factor out of .
Cancel the common factor.
Reformulate the expression.
Since is constant with respect to , move out of the integral.
By the Power Rule, the integral of with respect to is .