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Popular >

integral from-1 to 0 of-x^2-x

Solution

\int_{- 1}^{0} - x^{2} - x d x

Solution

\frac{1}{6}

+1

Decimal

0.16666 \dots

Solution steps

\int_{- 1}^{0} - 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}^{0} x^{2} d x - \int_{- 1}^{0} x d x

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

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

= - \frac{1}{3} - (- \frac{1}{2})

Simplify

- \frac{1}{3} - (- \frac{1}{2}) : \frac{1}{6}

= \frac{1}{6}

Graph

Popular Examples

integral from 2 to 4 of xe^{-x/2}

\int_{2}^{4} x e^{- \frac{x}{2}} d x

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\int_{x}^{2} \frac{6 ( y - x )}{8} d y

integral from 0 to 1 of 15x^2

\int_{0}^{1} 15 x^{2} d x

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

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

integral from 4 to 9 of 1/2 x-sqrt(x)

\int_{4}^{9} \frac{1}{2} x - x d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of-x^2-x ?
The integral from-1 to 0 of-x^2-x is 1/6