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Popular >

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

Solution

\int_{- 4}^{4} (4 - ∣ x ∣) d x

Solution

16

Solution steps

\int_{- 4}^{4} 4 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= 8 + 8

Simplify

= 16

Popular Examples

integral from 0 to e-1 of ln(1+x)

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

integral from 0 to 2 of (2x-3)

\int_{0}^{2} (2 x - 3) d x

integral from 2 to 4 of 5^{5x}

\int_{2}^{4} 5^{5 x} d x

integral from 0 to 35/36 of sqrt(1+36x)

\int_{0}^{\frac{35}{36}} 1 + 36 x d x

integral from 0 to pi of sin(7x+pi)

\int_{0}^{π} sin (7 x + π) d x

Frequently Asked Questions (FAQ)

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