What is the integral of 5/11 x^{11/6}+C ?

The integral of 5/11 x^{11/6}+C is 30/187 x^{17/6}+Cx+C

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integral of 5/11 x^{11/6}+C

\int \frac{5}{11} x^{\frac{11}{6}} + C d x

\frac{30}{187} x^{\frac{17}{6}} + C x + C

Solution steps

\int \frac{5}{11} x^{\frac{11}{6}} + 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{5}{11} x^{\frac{11}{6}} d x + \int C d x

\int \frac{5}{11} x^{\frac{11}{6}} d x = \frac{30}{187} x^{\frac{17}{6}}

\int C d x = C x

= \frac{30}{187} x^{\frac{17}{6}} + C x

Add a constant to the solution

= \frac{30}{187} x^{\frac{17}{6}} + C x + C

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What is the integral of 5/11 x^{11/6}+C ?
The integral of 5/11 x^{11/6}+C is 30/187 x^{17/6}+Cx+C