What is the integral of \sqrt[12]{x}+\sqrt[13]{x} ?

The integral of \sqrt[12]{x}+\sqrt[13]{x} is 12/13 x^{13/12}+13/14 x^{14/13}+C

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integral of \sqrt[12]{x}+\sqrt[13]{x}

\frac{12}{13} x^{\frac{13}{12}} + \frac{13}{14} x^{\frac{14}{13}} + 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{12}{13} x^{\frac{13}{12}} + \frac{13}{14} x^{\frac{14}{13}}

Add a constant to the solution

= \frac{12}{13} x^{\frac{13}{12}} + \frac{13}{14} x^{\frac{14}{13}} + C

\frac{\partial}{\partial x} (\frac{2 \cdot x}{x ^{2} - y ^{2}})

\frac{d}{d z} (\frac{y}{z})

\frac{d}{d x} ((\frac{x + 1}{x - 1})^{3})

\int y 4 + 4 y - 4 y^{2} d y

\frac{\partial}{\partial x} (y^{8} + 4 x^{3} y^{3})

What is the integral of \sqrt[12]{x}+\sqrt[13]{x} ?
The integral of \sqrt[12]{x}+\sqrt[13]{x} is 12/13 x^{13/12}+13/14 x^{14/13}+C