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Popular >

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

Solution

\int_{- 2}^{2} 1 - ∣ x ∣ d x

Solution

0

Solution steps

\int_{- 2}^{2} 1 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= 0 + 0

Simplify

= 0

Graph

Popular Examples

integral from 0 to pi/3 of sec^2(θ)

\int_{0}^{\frac{π}{3}} sec^{2} (θ) d θ

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

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

integral from-1 to 2 of y^2

\int_{- 1}^{2} y^{2} d y

integral from 0 to 2 of 1/(4x-5)

\int_{0}^{2} \frac{1}{4 x - 5} d x

integral from-1 to 1 of (e^{1/x})/(x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 1-|x| ?
The integral from-2 to 2 of 1-|x| is 0