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

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

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

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

x + C

Solution steps

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

\frac{e ^{x}}{e ^{2 x}} = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

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What is the integral of (e^x)/(sqrt(e^{2x))} ?
The integral of (e^x)/(sqrt(e^{2x))} is x+C