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Popular >

integral from-1 to 1 of 2x^2+2/3

Solution

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

Solution

\frac{8}{3}

+1

Decimal

2.66666 \dots

Solution steps

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

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

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

= \frac{4}{3} + \frac{4}{3}

Simplify

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

= \frac{8}{3}

Graph

Popular Examples

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

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

integral from 0 to pi of ysin(x)

\int_{0}^{π} y sin (x) d x

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

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

integral from-1 to 1 of x/(x+2)

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

integral from 0 to 2 of (2x-3)(8x^2+4)

\int_{0}^{2} (2 x - 3) (8 x^{2} + 4) d x

Frequently Asked Questions (FAQ)

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