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Popular Calculus >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

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

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

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

= \frac{2}{3} - 0

Simplify

= \frac{2}{3}

Graph

Popular Examples

integral of 1/(x-9)

implicit y/(x-5y)=x^7+9

(dy)/(dx)=e^{5x}+10y

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

(\partial)/(\partial x)((-x-6y)/(y^2+5x^2))

Frequently Asked Questions (FAQ)

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