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

\int \frac{x ^{2} + x - 2}{( 3 x - 1 ) ( x ^{2} + 1 )} d x

\int csc (x) (cot (x) - csc (x)) d x

\int \frac{1}{1 - 6 y} d y

\int \frac{5}{csc ( x )} d x

\int \frac{1}{2 x + 3 + 2 x - 1} d x

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