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Popular >

integral of-2x^2

Solution

integral

- 2 x^{2}

Solution

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

Solution steps

\int - 2 x^{2} d x

Take the constant out:

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

= - 2 \cdot \int x^{2} d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

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\int x d ln (x) d x

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\int (\frac{cos ( \frac{π}{x} )}{x ^{2}}) d x

integral of ye^{2y^2}

\int y e^{2 y^{2}} d y

integral of (sin(x))/((9+cos(x))^4)

\int \frac{sin ( x )}{( 9 + cos ( x ) ) ^{4}} d x

Frequently Asked Questions (FAQ)

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