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Popular >

integral from-2 to 2 of 3-|x|

Solution

\int_{- 2}^{2} 3 - ∣ x ∣ d x

Solution

8

Solution steps

\int_{- 2}^{2} 3 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} 3 - (- x) d x + \int_{0}^{2} 3 - x d x

\int_{- 2}^{0} 3 - (- x) d x = 4

\int_{0}^{2} 3 - x d x = 4

= 4 + 4

Simplify

= 8

Graph

Popular Examples

integral from 0 to 9 of sqrt(\sqrt{x)+1}

\int_{0}^{9} x + 1 d x

integral from 3 to 6 of x^3+x-2

\int_{3}^{6} x^{3} + x - 2 d x

integral from 1 to 9 of (4/x-e^{-x})

\int_{1}^{9} (\frac{4}{x} - e^{- x}) d x

integral from 1 to e of ((x^5+1))/x

\int_{1}^{e} \frac{( x ^{5} + 1 )}{x} d x

integral from 0 to 1/2 of x^2e^{2x}

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 3-|x| ?
The integral from-2 to 2 of 3-|x| is 8