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Popular >

integral of-2x^2

Solution

\int - 2 x^{2} d x

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_{\frac{7}{6}}^{6} \frac{1}{1 - x ^{2}} d x

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(dy)/(dx)-2y=e^{5x}

\frac{d y}{d x} - 2 y = e^{5 x}

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\frac{d}{d x} (- 5 sin (2 x))

Frequently Asked Questions (FAQ)

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