# Evaluate integral of xe^(x^2) with respect to x

Let . Find .

Differentiate .

Differentiate using the chain rule, which states that is where and .

To apply the Chain Rule, set as .

Differentiate using the Exponential Rule which states that is where =.

Replace all occurrences of with .

Differentiate using the Power Rule which states that is where .

Move to the left of .

Reorder and .

Reorder and .

Rewrite the problem using and .

Since is constant with respect to , move out of the integral.

Replace all occurrences of with .

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