What is the integral of ((5e^5sqrt(x)))/(sqrt(x)) ?

The integral of ((5e^5sqrt(x)))/(sqrt(x)) is 5e^5x+C

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integral of ((5e^5sqrt(x)))/(sqrt(x))

\int \frac{( 5 e ^{5} x )}{x} d x

5 e^{5} x + C

Solution steps

\int \frac{5 e ^{5} x}{x} d x

Cancel the common factor:

x

= \int 5 e^{5} d x

Integral of a constant:

\int a d x = a x

= 5 e^{5} x

Add a constant to the solution

= 5 e^{5} x + C

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What is the integral of ((5e^5sqrt(x)))/(sqrt(x)) ?
The integral of ((5e^5sqrt(x)))/(sqrt(x)) is 5e^5x+C