What is the integral of (7e^7sqrt(x))/(sqrt(x)) ?

The integral of (7e^7sqrt(x))/(sqrt(x)) is 7e^7x+C

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integral of (7e^7sqrt(x))/(sqrt(x))

\int \frac{7 e ^{7} x}{x} d x

7 e^{7} x + C

Solution steps

\int \frac{7 e ^{7} x}{x} d x

Cancel the common factor:

x

= \int 7 e^{7} d x

Integral of a constant:

\int a d x = a x

= 7 e^{7} x

Add a constant to the solution

= 7 e^{7} x + C

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What is the integral of (7e^7sqrt(x))/(sqrt(x)) ?
The integral of (7e^7sqrt(x))/(sqrt(x)) is 7e^7x+C