What is the integral of 6/13 x^{13/7}+C ?

The integral of 6/13 x^{13/7}+C is 21/130 x^{20/7}+Cx+C

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integral of 6/13 x^{13/7}+C

\int \frac{6}{13} x^{\frac{13}{7}} + C d x

\frac{21}{130} x^{\frac{20}{7}} + C x + C

Solution steps

\int \frac{6}{13} x^{\frac{13}{7}} + C d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{6}{13} x^{\frac{13}{7}} d x + \int C d x

\int \frac{6}{13} x^{\frac{13}{7}} d x = \frac{21}{130} x^{\frac{20}{7}}

\int C d x = C x

= \frac{21}{130} x^{\frac{20}{7}} + C x

Add a constant to the solution

= \frac{21}{130} x^{\frac{20}{7}} + C x + C

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What is the integral of 6/13 x^{13/7}+C ?
The integral of 6/13 x^{13/7}+C is 21/130 x^{20/7}+Cx+C