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Popular >

integral from-2 to 2 of 2x^2-8

Solution

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

Solution

- \frac{64}{3}

+1

Decimal

- 21.33333 \dots

Solution steps

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

\int_{- 2}^{2} 2 x^{2} d x = \frac{32}{3}

\int_{- 2}^{2} 8 d x = 32

= \frac{32}{3} - 32

Simplify

\frac{32}{3} - 32 : - \frac{64}{3}

= - \frac{64}{3}

Graph

Popular Examples

integral from 2 to 3 of sqrt(x)

\int_{2}^{3} x d x

integral from 0 to 1 of (x(-x^2+1)^{3/2})/3

\int_{0}^{1} \frac{x ( - x ^{2} + 1 ) ^{\frac{3}{2}}}{3} d x

integral from-1 to 1 of x^{2/3}

\int_{- 1}^{1} x^{\frac{2}{3}} d x

integral from pi/4 to pi/3 of csc^2(x)

\int_{\frac{π}{4}}^{\frac{π}{3}} csc^{2} (x) d x

integral from 0 to pi of t

\int_{0}^{π} t d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 2x^2-8 ?
The integral from-2 to 2 of 2x^2-8 is -64/3