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Popular >

integral from-4 to 4 of 3-|x|

Solution

\int_{- 4}^{4} 3 - ∣ x ∣ d x

Solution

8

Solution steps

\int_{- 4}^{4} 3 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= 4 + 4

Simplify

= 8

Popular Examples

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

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

integral from-1 to 1 of sin^7(x)

\int_{- 1}^{1} sin^{7} (x) d x

integral from 0 to 7 of pi(2sqrt(3y))^2

\int_{0}^{7} π (2 3 y)^{2} d y

integral from 0 to 1 of 3xe^x

\int_{0}^{1} 3 x e^{x} d x

integral from-2 to 2 of 0

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

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of 3-|x| ?
The integral from-4 to 4 of 3-|x| is 8