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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 Notation

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}

Popular Examples

integral from 0 to 1 of sin(x^4)

\int_{0}^{1} sin (x^{4}) d x

integral from-1 to 1 of x^2sqrt(4+x^2)

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

integral from sqrt(x) to x^2 of ln(x)

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

integral from x^5 to x^6 of (2t-1)^3

\int_{x^{5}}^{x^{6}} (2 t - 1)^{3} d t

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

\int_{1}^{3} (2 - \frac{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