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Popular >

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

Solution

\int_{- 8}^{8} 8 - ∣ x ∣ d x

Solution

64

Solution steps

\int_{- 8}^{8} 8 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 8}^{0} 8 - (- x) d x = 32

\int_{0}^{8} 8 - x d x = 32

= 32 + 32

Simplify

= 64

Graph

Popular Examples

integral from-1 to 3 of x+1

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

integral from 1 to e^2 of (8ln(x))/x

\int_{1}^{e^{2}} \frac{8 ln ( x )}{x} d x

integral from 0 to 0.9 of e^{-x^2}

\int_{0}^{0.9} e^{- x^{2}} d x

integral from 0 to 1 of xye^{x^2y}

\int_{0}^{1} x y e^{x^{2} y} d x

integral from sqrt(pi) to 0 of xsin(x^2)

\int_{π}^{0} x sin (x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from-8 to 8 of 8-|x| ?
The integral from-8 to 8 of 8-|x| is 64