What is the integral of 10/9 \sqrt[9]{x} ?

The integral of 10/9 \sqrt[9]{x} is x^{10/9}+C

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integral of 10/9 \sqrt[9]{x}

x^{\frac{10}{9}} + 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{9}{10} x^{\frac{10}{9}}

= \frac{10}{9} \cdot \frac{9}{10} x^{\frac{10}{9}}

Simplify

\frac{10}{9} \cdot \frac{9}{10} x^{\frac{10}{9}} : x^{\frac{10}{9}}

= x^{\frac{10}{9}}

Add a constant to the solution

= x^{\frac{10}{9}} + C

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What is the integral of 10/9 \sqrt[9]{x} ?
The integral of 10/9 \sqrt[9]{x} is x^{10/9}+C