What is the integral of (esqrt(5x+1))/(sqrt(5x+1)) ?

The integral of (esqrt(5x+1))/(sqrt(5x+1)) is ex+C

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integral of (esqrt(5x+1))/(sqrt(5x+1))

\int \frac{e 5 x + 1}{5 x + 1} d x

e x + C

Solution steps

\int \frac{e 5 x + 1}{5 x + 1} d x

Cancel the common factor:

5 x + 1

= \int e d x

Integral of a constant:

\int a d x = a x

= e x

Add a constant to the solution

= e x + C

\int \frac{1}{3 x ^{\frac{2}{3}}} d x

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

\int e^{- s} d s

\int \frac{2}{3 ( 4 - 5 x ) ^{2}} d x

\int (cos (\frac{x}{2}) - sin (\frac{x}{2}))^{2} d x

What is the integral of (esqrt(5x+1))/(sqrt(5x+1)) ?
The integral of (esqrt(5x+1))/(sqrt(5x+1)) is ex+C