What is the integral of (\sqrt[9]{x}+\sqrt[10]{x}) ?

The integral of (\sqrt[9]{x}+\sqrt[10]{x}) is 9/10 x^{10/9}+10/11 x^{11/10}+C

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integral of (\sqrt[9]{x}+\sqrt[10]{x})

\frac{9}{10} x^{\frac{10}{9}} + \frac{10}{11} x^{\frac{11}{10}} + C

Solution steps

Apply the Sum Rule:

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

= \frac{9}{10} x^{\frac{10}{9}} + \frac{10}{11} x^{\frac{11}{10}}

Add a constant to the solution

= \frac{9}{10} x^{\frac{10}{9}} + \frac{10}{11} x^{\frac{11}{10}} + C

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What is the integral of (\sqrt[9]{x}+\sqrt[10]{x}) ?
The integral of (\sqrt[9]{x}+\sqrt[10]{x}) is 9/10 x^{10/9}+10/11 x^{11/10}+C