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Popular >

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

Solution

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

Solution

- \frac{2}{3}

+1

Decimal

- 0.66666 \dots

Solution steps

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

\int_{- 1}^{1} x d x = 0

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

= 0 - \frac{2}{3}

Simplify

= - \frac{2}{3}

Graph

Popular Examples

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

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

integral from 0 to 1 of 5t^4sin(t^5)

\int_{0}^{1} 5 t^{4} sin (t^{5}) d t

integral from 0 to 3 of 1/2 e^{-x/2}

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

integral from-100 to 0 of-2ax

\int_{- 100}^{0} - 2 a x d x

integral from 2 to 4 of 1/(ln(x))

\int_{2}^{4} \frac{1}{ln ( x )} d x

Frequently Asked Questions (FAQ)

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