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Popular >

integral from-4 to 4 of (|x|)

Solution

\int_{- 4}^{4} (∣ x ∣) d x

Solution

16

Solution steps

\int_{- 4}^{4} ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 4}^{0} - x d x = 8

\int_{0}^{4} x d x = 8

= 8 + 8

Simplify

= 16

Graph

Popular Examples

integral from 1 to 9 of 5/x

\int_{1}^{9} \frac{5}{x} d x

integral from x to 0 of e^{-6t}

\int_{x}^{0} e^{- 6 t} d t

integral from 0 to pi/2 of 2/3 sin(θ)

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

integral from-2 to 3 of 3

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

integral from-pi/2 to pi of 9cos(x)

\int_{- \frac{π}{2}}^{π} 9 cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (|x|) ?
The integral from-4 to 4 of (|x|) is 16