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

Evaluate integral of xe^(2x) with respect to x
Integrate by parts using the formula , where and .
Simplify.
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Combine and .
Combine and .
Combine and .
Since is constant with respect to , move out of the integral.
Let . Then , so . Rewrite using and .
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Let . Find .
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Rewrite.
Divide by .
Rewrite the problem using and .
Combine and .
Since is constant with respect to , move out of the integral.
Simplify.
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Multiply and .
Multiply by .
The integral of with respect to is .
Rewrite as .
Replace all occurrences of with .
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