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Popular >

integral of x 1/3

Solution

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

Solution

\frac{x ^{2}}{6} + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{3} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{1}{3} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{3} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{6}

= \frac{x ^{2}}{6}

Add a constant to the solution

= \frac{x ^{2}}{6} + C

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\int \frac{2 x + 3}{x ^{2} + 3 x + 5} d x

integral of y^2\sqrt[3]{y+1}

Frequently Asked Questions (FAQ)

What is the integral of x 1/3 ?
The integral of x 1/3 is (x^2)/6+C