What is the integral of sqrt(e^{2t)} ?

The integral of sqrt(e^{2t)} is e^t+C

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integral of sqrt(e^{2t)}

\int e^{2 t} d t

e^{t} + C

Solution steps

\int e^{2 t} d t

Simplify

e^{2 t} : e^{t}

= \int e^{t} d t

Use the common integral:

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

= e^{t}

Add a constant to the solution

= e^{t} + C

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