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Popular >

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

Solution

\int_{- 1}^{1} - x^{2} ∣ x ∣ d x

Solution

- \frac{1}{2}

+1

Decimal

- 0.5

Solution steps

\int_{- 1}^{1} - 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}^{0} - x^{2} (- x) d x = - \frac{1}{4}

\int_{0}^{1} - x^{2} x d x = - \frac{1}{4}

= - \frac{1}{4} - \frac{1}{4}

Simplify

- \frac{1}{4} - \frac{1}{4} : - \frac{1}{2}

= - \frac{1}{2}

Graph

Popular Examples

integral from 0 to 10 of 1/10 x

\int_{0}^{10} \frac{1}{10} x d x

integral from-1 to 1 of (1+x^4tan(x))

\int_{- 1}^{1} (1 + x^{4} tan (x)) d x

integral from 0 to pi of x^3

\int_{0}^{π} x^{3} d x

integral from 0 to 0.5 of sqrt(1-x^2)

\int_{0}^{0.5} 1 - x^{2} d x

integral from-infinity to-1 of e^{-x}

\int_{- \infty}^{- 1} e^{- x} d x

Frequently Asked Questions (FAQ)

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