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

Math
Integrate by parts using the formula , where and .
Since is constant with respect to , move out of the integral.
Simplify the expression.
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Multiply by .
Multiply by .
Reorder and .
Integrate by parts using the formula , where and .
Solving for , we find that = .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Evaluate integral of cos(x)e^x with respect to x

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