What is the integral of (\sqrt[14]{x}+\sqrt[15]{x}) ?

The integral of (\sqrt[14]{x}+\sqrt[15]{x}) is 14/15 x^{15/14}+15/16 x^{16/15}+C

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integral of (\sqrt[14]{x}+\sqrt[15]{x})

\frac{14}{15} x^{\frac{15}{14}} + \frac{15}{16} x^{\frac{16}{15}} + 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{14}{15} x^{\frac{15}{14}} + \frac{15}{16} x^{\frac{16}{15}}

Add a constant to the solution

= \frac{14}{15} x^{\frac{15}{14}} + \frac{15}{16} x^{\frac{16}{15}} + C

What is the integral of (\sqrt[14]{x}+\sqrt[15]{x}) ?
The integral of (\sqrt[14]{x}+\sqrt[15]{x}) is 14/15 x^{15/14}+15/16 x^{16/15}+C