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Popular >

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

Solution

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

Solution

\frac{11}{6}

+1

Decimal

1.83333 \dots

Solution steps

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

Eliminate Absolutes

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

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

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

\int_{1}^{2} - x + x^{2} 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 y of xe^{-x}

\int_{0}^{y} x e^{- x} d x

integral from-1 to 2 of x^2-3x-1

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

integral from 0 to 1 of y(y+1/2)

\int_{0}^{1} y (y + \frac{1}{2}) d y

integral from 0 to 5 of 4

\int_{0}^{5} 4 d x

integral from 0 to ln(3) of 4e^{2x}

\int_{0}^{l n (3)} 4 e^{2 x} d x

Frequently Asked Questions (FAQ)

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