What is the integral of 7/6 \sqrt[6]{x} ?

The integral of 7/6 \sqrt[6]{x} is x^{7/6}+C

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integral of 7/6 \sqrt[6]{x}

x^{\frac{7}{6}} + 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{6}{7} x^{\frac{7}{6}}

= \frac{7}{6} \cdot \frac{6}{7} x^{\frac{7}{6}}

Simplify

\frac{7}{6} \cdot \frac{6}{7} x^{\frac{7}{6}} : x^{\frac{7}{6}}

= x^{\frac{7}{6}}

Add a constant to the solution

= x^{\frac{7}{6}} + C

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What is the integral of 7/6 \sqrt[6]{x} ?
The integral of 7/6 \sqrt[6]{x} is x^{7/6}+C