What is the integral from 0 to 5 of 1/(x^{8/9)} ?

The integral from 0 to 5 of 1/(x^{8/9)} is 9*5^{1/9}

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integral from 0 to 5 of 1/(x^{8/9)}

\int_{0}^{5} \frac{1}{x ^{\frac{8}{9}}} d x

9 \cdot 5^{\frac{1}{9}}

Solution steps

\int_{0}^{5} \frac{1}{x ^{\frac{8}{9}}} d x

Apply the Power Rule

: [9 x^{\frac{1}{9}}]_{0}^{5}

= [9 x^{\frac{1}{9}}]_{0}^{5}

Compute the boundaries:

9 \cdot 5^{\frac{1}{9}}

= 9 \cdot 5^{\frac{1}{9}}

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What is the integral from 0 to 5 of 1/(x^{8/9)} ?
The integral from 0 to 5 of 1/(x^{8/9)} is 9*5^{1/9}