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

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

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

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

- \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}}}

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

Add a constant to the solution

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

x^{^{'}} = 2 - x

y^{^{''}} + y = sin (t)

\frac{x + 1}{x}

\frac{d y}{d x} = \frac{1}{x y + x + y + 1}

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