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Popular >

integral from-4 to 2 of |x|

Solution

\int_{- 4}^{2} ∣ x ∣ d x

Solution

10

Solution steps

\int_{- 4}^{2} ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 4}^{0} - x d x = 8

\int_{0}^{2} x d x = 2

= 8 + 2

Simplify

= 10

Graph

Popular Examples

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

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

integral from-2 to 1 of 2x^3

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

integral from 0 to pi of (9-sin(4x))/4

\int_{0}^{π} \frac{9 - sin ( 4 x )}{4} d x

integral from-pi to pi of x+pi

\int_{- π}^{π} x + π d x

integral from-6 to 0 of 5+sqrt(36-x^2)

\int_{- 6}^{0} 5 + 36 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 2 of |x| ?
The integral from-4 to 2 of |x| is 10