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Popular >

integral from-1 to 2 of x-8|x|

Solution

\int_{- 1}^{2} x - 8 ∣ x ∣ d x

Solution

- \frac{37}{2}

+1

Solution steps

\int_{- 1}^{2} x - 8 ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} x - 8 (- x) d x + \int_{0}^{2} x - 8 x d x

\int_{- 1}^{0} x - 8 (- x) d x = - \frac{9}{2}

\int_{0}^{2} x - 8 x d x = - 14

= - \frac{9}{2} - 14

Simplify

- \frac{9}{2} - 14 : - \frac{37}{2}

= - \frac{37}{2}

Popular Examples

integral from-9 to 9 of xsqrt(81-x^2)

\int_{- 9}^{9} x 81 - x^{2} d x

integral from 0 to sin(x) of sin(t^2)

\int_{0}^{s i n (x)} sin (t^{2}) d t

integral from-1 to 0 of (x+1)sin(npix)

\int_{- 1}^{0} (x + 1) sin (nπ x) d x

integral from y to 2y of xy

\int_{y}^{2 y} x y d x

integral from 4 to 25 of 2/(sqrt(x))

\int_{4}^{25} \frac{2}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x-8|x| ?
The integral from-1 to 2 of x-8|x| is -37/2