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Popular >

integral of u^{-1/3}

Solution

\int u^{- \frac{1}{3}} d u

Solution

\frac{3}{2} u^{\frac{2}{3}} + C

Solution steps

\int u^{- \frac{1}{3}} d u

Apply the Power Rule

: \frac{3}{2} u^{\frac{2}{3}}

= \frac{3}{2} u^{\frac{2}{3}}

Add a constant to the solution

= \frac{3}{2} u^{\frac{2}{3}} + C

Popular Examples

derivative of xsqrt(x-1)

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derivative of (x^2+1*(x+5+1/x))

\frac{d}{d x} ((x^{2} + 1) \cdot (x + 5 + \frac{1}{x}))

derivative of 3sin(x+1)

\frac{d}{d x} (3 sin (x) + 1)

(dy)/(dx)=e^{5x+4y}

\frac{d y}{d x} = e^{5 x + 4 y}

Frequently Asked Questions (FAQ)

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