What is the integral of (e^{x/2})^2 ?

The integral of (e^{x/2})^2 is e^x+C

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integral of (e^{x/2})^2

\int (e^{\frac{x}{2}})^{2} d x

e^{x} + C

Solution steps

\int (e^{\frac{x}{2}})^{2} d x

Simplify

(e^{\frac{x}{2}})^{2} : 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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