What is the integral of 2/5 x^{5/3}+C ?

The integral of 2/5 x^{5/3}+C is 3/20 x^{8/3}+Cx+C

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integral of 2/5 x^{5/3}+C

\int \frac{2}{5} x^{\frac{5}{3}} + C d x

\frac{3}{20} x^{\frac{8}{3}} + C x + C

Solution steps

\int \frac{2}{5} x^{\frac{5}{3}} + 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{2}{5} x^{\frac{5}{3}} d x + \int C d x

\int \frac{2}{5} x^{\frac{5}{3}} d x = \frac{3}{20} x^{\frac{8}{3}}

\int C d x = C x

= \frac{3}{20} x^{\frac{8}{3}} + C x

Add a constant to the solution

= \frac{3}{20} x^{\frac{8}{3}} + C x + C

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What is the integral of 2/5 x^{5/3}+C ?
The integral of 2/5 x^{5/3}+C is 3/20 x^{8/3}+Cx+C