What is the integral of \sqrt[3]{x} ?

The integral of \sqrt[3]{x} is 3/4 x^{4/3}+C

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integral of \sqrt[3]{x}

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

Solution steps

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

\frac{d}{d x} (\frac{3}{4} x^{\frac{4}{3}} - \frac{3}{8} x^{\frac{2}{3}} + 7)

\int \frac{1}{( x ) ^{2}} d x

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x \to 3 lim (2 x + 2)

\int \frac{5 - 50 x}{16 - 25 x ^{2}} d x

What is the integral of \sqrt[3]{x} ?
The integral of \sqrt[3]{x} is 3/4 x^{4/3}+C