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

x \to 1 lim ((1 - x)^{l n (x)})

\int_{1}^{5} 4 x^{2} ln (x) d x

f^{^{'}} (x) = 2 sin (6 x), f (\frac{π}{6}) = - \frac{5}{2}

x \to 1 lim (sin (5 p i x))

x \to 1 + lim (\frac{x ^{2} + 1}{x - 1})

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