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Popular >

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

Solution

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

Solution

\frac{11}{6}

+1

Decimal

1.83333 \dots

Solution steps

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

Eliminate Absolutes

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

\int_{- 1}^{0} x^{2} - x d x = \frac{5}{6}

\int_{0}^{1} - x^{2} + x d x = \frac{1}{6}

\int_{1}^{2} x^{2} - x d x = \frac{5}{6}

= \frac{5}{6} + \frac{1}{6} + \frac{5}{6}

Simplify

\frac{5}{6} + \frac{1}{6} + \frac{5}{6} : \frac{11}{6}

= \frac{11}{6}

Graph

Popular Examples

integral from 0 to 2 of 4axe^{ax^2}

\int_{0}^{2} 4 a x e^{a x^{2}} d x

integral from 0 to 1 of k(1-y)y^n

\int_{0}^{1} k (1 - y) y^{n} d y

integral from 0 to 3 of |2x-2|

\int_{0}^{3} ∣ 2 x - 2 ∣ d x

integral from 2 to 4 of |t^2-2t-3|

\int_{2}^{4} t^{2} - 2 t - 3 d t

integral from 1 to e of (8(ln(x))^3)/x

\int_{1}^{e} \frac{8 ( ln ( x ) ) ^{3}}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |x^2-x| ?
The integral from-1 to 2 of |x^2-x| is 11/6