What is the integral of (esqrt(6x+3))/(sqrt(6x+3)) ?

The integral of (esqrt(6x+3))/(sqrt(6x+3)) is ex+C

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integral of (esqrt(6x+3))/(sqrt(6x+3))

\int \frac{e 6 x + 3}{6 x + 3} d x

e x + C

Solution steps

\int \frac{e 6 x + 3}{6 x + 3} d x

Cancel the common factor:

6 x + 3

= \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

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What is the integral of (esqrt(6x+3))/(sqrt(6x+3)) ?
The integral of (esqrt(6x+3))/(sqrt(6x+3)) is ex+C