What is the integral of x^{(-4)/3} ?

The integral of x^{(-4)/3} is -3/(x^{1/3)}+C

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integral of x^{(-4)/3}

\int x^{\frac{- 4}{3}} d x

- \frac{3}{x ^{\frac{1}{3}}} + C

Solution steps

\int x^{\frac{- 4}{3}} d x

Apply the Power Rule

: - \frac{3}{x ^{\frac{1}{3}}}

= - \frac{3}{x ^{\frac{1}{3}}}

Add a constant to the solution

= - \frac{3}{x ^{\frac{1}{3}}} + C

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What is the integral of x^{(-4)/3} ?
The integral of x^{(-4)/3} is -3/(x^{1/3)}+C