What is the integral of e^{-x}e^{2x} ?

The integral of e^{-x}e^{2x} is e^x+C

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integral of e^{-x}e^{2x}

\int e^{- x} e^{2 x} d x

e^{x} + C

Solution steps

\int e^{- x} e^{2 x} d x

Simplify

e^{- x} e^{2 x} : e^{x}

= \int e^{x} d x

Use the common integral:

\int e^{x} d x = e^{x}

= e^{x}

Add a constant to the solution

= e^{x} + C

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