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Popular Calculus >

integral of x^{(-5)/3}

Solution

\int x^{\frac{- 5}{3}} d x

Solution

- \frac{3}{2 x ^{\frac{2}{3}}} + C

Solution steps

\int x^{\frac{- 5}{3}} d x

Apply the Power Rule

= - \frac{3}{2 x ^{\frac{2}{3}}}

Add a constant to the solution

= - \frac{3}{2 x ^{\frac{2}{3}}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^{(-5)/3} ?
The integral of x^{(-5)/3} is -3/(2x^{2/3)}+C