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

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

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integral of \sqrt[12]{x}

\int 12 x d x

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

Solution steps

\int 12 x d x

Apply the Power Rule

: \frac{12}{13} x^{\frac{13}{12}}

= \frac{12}{13} x^{\frac{13}{12}}

Add a constant to the solution

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

\int \frac{- x}{1 + x ^{2}} d x

\int \frac{26}{26 + e ^{x}} d x

\frac{x}{x + 6}

\int_{6}^{8} \frac{24}{( x - 6 ) ^{3}} d x

f (x) = 5 x, (25, 25)

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