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Popular >

integral from-4 to 4 of |x-2|

Solution

\int_{- 4}^{4} ∣ x - 2 ∣ d x

Solution

20

Solution steps

\int_{- 4}^{4} ∣ x - 2 ∣ d x

Eliminate Absolutes

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

\int_{- 4}^{2} - x + 2 d x = 18

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

= 18 + 2

Simplify

= 20

Graph

Popular Examples

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

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

integral from 0 to 5 of (x-3)(x-1)

\int_{0}^{5} (x - 3) (x - 1) d x

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

\int_{- 2}^{2} 2 - ∣ x ∣ d x

integral from-2 to 2 of x^3cos(x)

\int_{- 2}^{2} x^{3} cos (x) d x

integral from-2 to-1 of (-x^2-2x+3)

\int_{- 2}^{- 1} (- x^{2} - 2 x + 3) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of |x-2| ?
The integral from-4 to 4 of |x-2| is 20