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Popular >

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

Solution

\int_{- 1}^{1} 1 - ∣ x ∣ d x

Solution

1

Solution steps

\int_{- 1}^{1} 1 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{1}{2} + \frac{1}{2}

Simplify

\frac{1}{2} + \frac{1}{2} : 1

= 1

Graph

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Frequently Asked Questions (FAQ)

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