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Popular >

integral from-10 to 10 of 10-|x|

Solution

\int_{- 10}^{10} 10 - ∣ x ∣ d x

Solution

100

Solution steps

\int_{- 10}^{10} 10 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 10}^{0} 10 - (- x) d x + \int_{0}^{10} 10 - x d x

\int_{- 10}^{0} 10 - (- x) d x = 50

\int_{0}^{10} 10 - x d x = 50

= 50 + 50

Simplify

= 100

Graph

Popular Examples

integral from 0 to 2 of (x^2+21x)

\int_{0}^{2} (x^{2} + 21 x) d x

integral from-3 to 3 of 12-x^2

\int_{- 3}^{3} 12 - x^{2} d x

integral from 0 to 4 of (sqrt(4-x))^2

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

integral from 0 to 3 of e^{-st}t^2

\int_{0}^{3} e^{- s t} t^{2} d t

integral from 0 to pi of 4tan(x/4)

\int_{0}^{π} 4 tan (\frac{x}{4}) d x

Frequently Asked Questions (FAQ)

What is the integral from-10 to 10 of 10-|x| ?
The integral from-10 to 10 of 10-|x| is 100