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Popular >

integral of 2/3 x^3

Solution

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

Solution

\frac{x ^{4}}{6} + C

Solution steps

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

Apply the Power Rule

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

= \frac{2}{3} \cdot \frac{x ^{4}}{4}

Simplify

\frac{2}{3} \cdot \frac{x ^{4}}{4} : \frac{x ^{4}}{6}

= \frac{x ^{4}}{6}

Add a constant to the solution

= \frac{x ^{4}}{6} + C

Graph

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\int x (cos (x^{2}) + e^{x}) d x

integral of (x^3+2)/(x^3-x)

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

Frequently Asked Questions (FAQ)

What is the integral of 2/3 x^3 ?
The integral of 2/3 x^3 is (x^4)/6+C