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

Integrate by parts using the formula , where and .

Add and .

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 .

Should be rewritten as .

Simplify.

Combine and .

Combine and .

Combine and .

Multiply and .

Multiply by .

Shift terms.

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