What is the integral of 8/7 \sqrt[7]{x} ?

The integral of 8/7 \sqrt[7]{x} is x^{8/7}+C

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integral of 8/7 \sqrt[7]{x}

x^{\frac{8}{7}} + C

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply the Power Rule

: \frac{7}{8} x^{\frac{8}{7}}

= \frac{8}{7} \cdot \frac{7}{8} x^{\frac{8}{7}}

Simplify

\frac{8}{7} \cdot \frac{7}{8} x^{\frac{8}{7}} : x^{\frac{8}{7}}

= x^{\frac{8}{7}}

Add a constant to the solution

= x^{\frac{8}{7}} + C

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What is the integral of 8/7 \sqrt[7]{x} ?
The integral of 8/7 \sqrt[7]{x} is x^{8/7}+C