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Popular >

integral from-1 to 1 of (2x^2-2)

Solution

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

Solution

- \frac{8}{3}

+1

Decimal

- 2.66666 \dots

Solution steps

\int_{- 1}^{1} 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_{- 1}^{1} 2 x^{2} d x - \int_{- 1}^{1} 2 d x

\int_{- 1}^{1} 2 x^{2} d x = \frac{4}{3}

\int_{- 1}^{1} 2 d x = 4

= \frac{4}{3} - 4

Simplify

\frac{4}{3} - 4 : - \frac{8}{3}

= - \frac{8}{3}

Graph

Popular Examples

integral from 0 to 18 of x/(sqrt(9+4x))

\int_{0}^{18} \frac{x}{9 + 4 x} d x

integral from 0 to 1 of (2x^4)/(3x^5+20)

\int_{0}^{1} \frac{2 x ^{4}}{3 x ^{5} + 20} d x

integral from 0 to pi of vsin(v)

\int_{0}^{π} v sin (v) d v

integral from 1 to 2 of 6

\int_{1}^{2} 6 d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (2x^2-2) ?
The integral from-1 to 1 of (2x^2-2) is -8/3