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Popular >

integral of x^{-8/3}

Solution

\int x^{- \frac{8}{3}} d x

Solution

- \frac{3}{5 x ^{\frac{5}{3}}} + C

Solution steps

\int x^{- \frac{8}{3}} d x

Apply the Power Rule

: - \frac{3}{5 x ^{\frac{5}{3}}}

= - \frac{3}{5 x ^{\frac{5}{3}}}

Add a constant to the solution

= - \frac{3}{5 x ^{\frac{5}{3}}} + C

Graph

Popular Examples

derivative of \sqrt[3]{9x^2+8}derivative of

3 9 x^{2} + 8

derivative of (4x^5-8x/(x^3))

\frac{d}{d x} (\frac{4 x ^{5} - 8 x}{x ^{3}})

(\partial)/(\partial x)(7e^{6x}sin(5y))

\frac{\partial}{\partial x} (7 e^{6 x} sin (5 y))

integral of 1/(sqrt(n^2-1))

\int \frac{1}{n ^{2} - 1}

tangent of y=3x^3-3x,(1,0)tangent of

y = 3 x^{3} - 3 x, (1, 0)

Frequently Asked Questions (FAQ)

What is the integral of x^{-8/3} ?
The integral of x^{-8/3} is -3/(5x^{5/3)}+C