What is the integral of (e^3sqrt(x))/(sqrt(x)) ?

The integral of (e^3sqrt(x))/(sqrt(x)) is e^3x+C

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integral of (e^3sqrt(x))/(sqrt(x))

\int \frac{e ^{3} x}{x} d x

e^{3} x + C

Solution steps

\int \frac{e ^{3} x}{x} d x

Cancel the common factor:

x

= \int e^{3} d x

Integral of a constant:

\int a d x = a x

= e^{3} x

Add a constant to the solution

= e^{3} x + C

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What is the integral of (e^3sqrt(x))/(sqrt(x)) ?
The integral of (e^3sqrt(x))/(sqrt(x)) is e^3x+C