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Popular >

integral of x^{-2/3}

Solution

\int x^{- \frac{2}{3}} d x

Solution

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

Solution steps

\int x^{- \frac{2}{3}} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

y^'=((x^2+y))/(x^3)

y^{^{'}} = \frac{( x ^{2} + y )}{x ^{3}}

limit as x approaches 0 of x^2csc^2(2x)

x \to 0 lim (x^{2} csc^{2} (2 x))

integral of 2sin(2x)-2cos(2x)

\int 2 sin (2 x) - 2 cos (2 x) d x

maclaurin e^{x^2+1},0 maclaurin

e^{x^{2} + 1}, 0

integral of 2e^{-1.5x}

\int 2 e^{- 1.5 x} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{-2/3} ?
The integral of x^{-2/3} is 3x^{1/3}+C