What is the integral of \sqrt[7]{r^4} ?

The integral of \sqrt[7]{r^4} is 7/11 r^{11/7}+C

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integral of \sqrt[7]{r^4}

\frac{7}{11} r^{\frac{11}{7}} + C

Solution steps

assuming

r \geq 0

= \int r^{\frac{4}{7}} d r

Apply the Power Rule

: \frac{7}{11} r^{\frac{11}{7}}

= \frac{7}{11} r^{\frac{11}{7}}

Add a constant to the solution

= \frac{7}{11} r^{\frac{11}{7}} + C

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What is the integral of \sqrt[7]{r^4} ?
The integral of \sqrt[7]{r^4} is 7/11 r^{11/7}+C