What is the integral of 6/5 \sqrt[5]{x} ?

The integral of 6/5 \sqrt[5]{x} is x^{6/5}+C

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integral of 6/5 \sqrt[5]{x}

\int \frac{6}{5} 5 x d x

x^{\frac{6}{5}} + C

Solution steps

\int \frac{6}{5} 5 x d x

Take the constant out:

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

= \frac{6}{5} \cdot \int 5 x d x

Apply the Power Rule

: \frac{5}{6} x^{\frac{6}{5}}

= \frac{6}{5} \cdot \frac{5}{6} x^{\frac{6}{5}}

Simplify

\frac{6}{5} \cdot \frac{5}{6} x^{\frac{6}{5}} : x^{\frac{6}{5}}

= x^{\frac{6}{5}}

Add a constant to the solution

= x^{\frac{6}{5}} + C

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What is the integral of 6/5 \sqrt[5]{x} ?
The integral of 6/5 \sqrt[5]{x} is x^{6/5}+C