Solve \int \sqrt[3]{2x}

Evaluate

\int 3 2 x d x

Evaluate the power

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\int 2^{\frac{1}{3}} x^{\frac{1}{3}} d x

Use the property of integral \int k f (x) d x = k \int f (x) d x

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

Use the property of integral \int x^{n} d x = \frac{x ^{n + 1}}{n + 1}

2^{\frac{1}{3}} \times \frac{x ^{\frac{1}{3} + 1}}{\frac{1}{3} + 1}

Simplify

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2^{\frac{1}{3}} \times \frac{3}{4} x^{\frac{4}{3}}

Multiply the numbers

\frac{2 ^{\frac{1}{3}} \times 3}{4} x^{\frac{4}{3}}

Simplify

\frac{2 ^{\frac{1}{3}} \times 3 x ^{\frac{4}{3}}}{4}

Transform the expression

More Steps

\frac{3 x 3 2 x}{4}

Solution

\frac{3 x 3 2 x}{4} + C, C \in R

Evaluate the integral