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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 0 to l of 1

\int_{0}^{l} 1

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\int_{1}^{2} (3 x^{2} + 4 x + 1) d x

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

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

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

integral from 2 to 10 of e^x

\int_{2}^{10} e^{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