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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{5}{6}

+1

Decimal

0.83333 \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{5}{6}

= \frac{5}{6}

Graph

Popular Examples

integral from 0 to 2 of e^{-sx}

\int_{0}^{2} e^{- s x} d x

integral from 0 to 3 of t^2e^{-st}

\int_{0}^{3} t^{2} e^{- s t} d t

integral from 0 to-a of sqrt(x^2+a^2)

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

integral from-3 to 0 of (4x^{1/3})

\int_{- 3}^{0} (4 x^{\frac{1}{3}}) d x

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

\int_{1}^{2 e} 4 ln (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 5/6