What is the integral of 7/15 x^{15/8}+C ?

The integral of 7/15 x^{15/8}+C is 56/345 x^{23/8}+Cx+C

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integral of 7/15 x^{15/8}+C

\int \frac{7}{15} x^{\frac{15}{8}} + C d x

\frac{56}{345} x^{\frac{23}{8}} + C x + C

Solution steps

\int \frac{7}{15} x^{\frac{15}{8}} + 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{7}{15} x^{\frac{15}{8}} d x + \int C d x

\int \frac{7}{15} x^{\frac{15}{8}} d x = \frac{56}{345} x^{\frac{23}{8}}

\int C d x = C x

= \frac{56}{345} x^{\frac{23}{8}} + C x

Add a constant to the solution

= \frac{56}{345} x^{\frac{23}{8}} + C x + C

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What is the integral of 7/15 x^{15/8}+C ?
The integral of 7/15 x^{15/8}+C is 56/345 x^{23/8}+Cx+C