What is the integral of \sqrt[13]{x^8} ?

The integral of \sqrt[13]{x^8} is 13/21 x^{21/13}+C

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integral of \sqrt[13]{x^8}

\frac{13}{21} x^{\frac{21}{13}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{8}{13}} d x

Apply the Power Rule

: \frac{13}{21} x^{\frac{21}{13}}

= \frac{13}{21} x^{\frac{21}{13}}

Add a constant to the solution

= \frac{13}{21} x^{\frac{21}{13}} + C

\frac{d}{d x} (cos (- 4 x))

x \to \infty lim (\frac{x}{10})

x \to - 5 lim (- 8)

\frac{x ^{2}}{1 + 4 x}

\frac{d}{d x} (x^{2} cos (4 x + 3))

What is the integral of \sqrt[13]{x^8} ?
The integral of \sqrt[13]{x^8} is 13/21 x^{21/13}+C