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Popular >

integral from-2 to 2 of (x^2-2)

Solution

\int_{- 2}^{2} (x^{2} - 2) d x

Solution

- \frac{8}{3}

+1

Decimal

- 2.66666 \dots

Solution steps

\int_{- 2}^{2} x^{2} - 2 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{2} x^{2} d x - \int_{- 2}^{2} 2 d x

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 2 d x = 8

= \frac{16}{3} - 8

Simplify

\frac{16}{3} - 8 : - \frac{8}{3}

= - \frac{8}{3}

Graph

Popular Examples

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\int_{1}^{2} \frac{x + 3}{x ( x + 2 )} d x

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\int_{1}^{5} x^{2} + 2 d x

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\int_{0}^{3} (4 t - 1)^{2} d t

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

integral from 0 to pi/4 of sin(t)+cos(t)

\int_{0}^{\frac{π}{4}} sin (t) + cos (t) d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^2-2) ?
The integral from-2 to 2 of (x^2-2) is -8/3