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Popular >

integral of x^{1/3}

Solution

\int x^{\frac{1}{3}} d x

Solution

\frac{3}{4} x^{\frac{4}{3}} + C

Solution steps

\int x^{\frac{1}{3}} d x

Apply the Power Rule

: \frac{3}{4} x^{\frac{4}{3}}

= \frac{3}{4} x^{\frac{4}{3}}

Add a constant to the solution

= \frac{3}{4} x^{\frac{4}{3}} + C

Popular Examples

derivative of ln(1+e^{-x})

\frac{d}{d x} (ln (1 + e^{- x}))

integral of (5x)/(1+x^4)

\int \frac{5 x}{1 + x ^{4}} d x

derivative of 2x^3-3x^2-12x+5

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 12 x + 5)

derivative of (x^2+4x/(x+2))

\frac{d}{d x} (\frac{x ^{2} + 4 x}{x + 2})

derivative of (-x^2+64/((x^2+64)^2))

\frac{d}{d x} (\frac{- x ^{2} + 64}{( x ^{2} + 64 ) ^{2}})

Frequently Asked Questions (FAQ)

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