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Popular >

integral of-(x^2)/3

Solution

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

Solution

- \frac{x ^{3}}{9} + C

Solution steps

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

Apply the Power Rule

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

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

Simplify

- \frac{1}{3} \cdot \frac{x ^{3}}{3} : - \frac{x ^{3}}{9}

= - \frac{x ^{3}}{9}

Add a constant to the solution

= - \frac{x ^{3}}{9} + C

Graph

Popular Examples

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\int x (x^{2} - 5)^{\frac{1}{2}} d x

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

integral of (x^2+6x+4)/(x^4+8x^2+16)

\int \frac{x ^{2} + 6 x + 4}{x ^{4} + 8 x ^{2} + 16} d x

integral of 9/(xln(10))

\int \frac{9}{x ln ( 10 )} d x

integral of 1/((y^2-4))

\int \frac{1}{( y ^{2} - 4 )} d y

Frequently Asked Questions (FAQ)

What is the integral of-(x^2)/3 ?
The integral of-(x^2)/3 is -(x^3)/9+C