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Popular >

integral from-1 to 2 of x|x|

Solution

\int_{- 1}^{2} x ∣ x ∣ d x

Solution

\frac{7}{3}

+1

Decimal Notation

2.33333 \dots

Solution steps

\int_{- 1}^{2} x ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{2} xx d x = \frac{8}{3}

= - \frac{1}{3} + \frac{8}{3}

Simplify

- \frac{1}{3} + \frac{8}{3} : \frac{7}{3}

= \frac{7}{3}

Popular Examples

integral from 0 to 1 of 1/(x^2-x)

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

integral from 2 to 5 of sin(x)

\int_{2}^{5} sin (x) d x

integral from 0 to 1 of x^{14}+14^x

\int_{0}^{1} x^{14} + 1 4^{x} d x

integral from 0 to pi of sin(8x+pi)

\int_{0}^{π} sin (8 x + π) d x

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

\int_{- 1}^{2} ∣ 1 - x ∣ d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x|x| ?
The integral from-1 to 2 of x|x| is 7/3