What is the integral of \sqrt[9]{x^7} ?

The integral of \sqrt[9]{x^7} is 9/16 x^{16/9}+C

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integral of \sqrt[9]{x^7}

\frac{9}{16} x^{\frac{16}{9}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{7}{9}} d x

Apply the Power Rule

: \frac{9}{16} x^{\frac{16}{9}}

= \frac{9}{16} x^{\frac{16}{9}}

Add a constant to the solution

= \frac{9}{16} x^{\frac{16}{9}} + C

\frac{\partial}{\partial y} (\frac{5}{y})

\frac{d}{d x} (\frac{\frac{d}{d x} ( sin ( x ) )}{x})

y^{^{''}} + 5 y^{^{'}} + 6 y = sin (e^{x})

n = 1 \sum \infty (\frac{1}{9})^{n}

What is the integral of \sqrt[9]{x^7} ?
The integral of \sqrt[9]{x^7} is 9/16 x^{16/9}+C