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Popular >

integral of x 2/3

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= \frac{2}{3} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

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x \to 0 lim (ln (\frac{x}{x + 1}))

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\int 2^{1 - x} d x

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n = 1 \sum \infty \frac{n}{4 ^{n}}

derivative of 6x-4

\frac{d}{d x} (6 x - 4)

Frequently Asked Questions (FAQ)

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