Evaluate integral of e^xsin(e^x) with respect to x

Math
Let . Then , so . Rewrite using and .
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Let . Find .
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Differentiate .
Differentiate using the Exponential Rule which states that is where =.
Rewrite the problem using and .
The integral of with respect to is .
Replace all occurrences of with .
Evaluate integral of e^xsin(e^x) with respect to x

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