What is the integral of \sqrt[3]{x^7} ?

The integral of \sqrt[3]{x^7} is 3/10 x^{10/3}+C

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integral of \sqrt[3]{x^7}

\frac{3}{10} x^{\frac{10}{3}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{7}{3}} d x

Apply the Power Rule

: \frac{3}{10} x^{\frac{10}{3}}

= \frac{3}{10} x^{\frac{10}{3}}

Add a constant to the solution

= \frac{3}{10} x^{\frac{10}{3}} + C

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What is the integral of \sqrt[3]{x^7} ?
The integral of \sqrt[3]{x^7} is 3/10 x^{10/3}+C