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Popular >

integral from-4 to 4 of (5-|x|)

Solution

\int_{- 4}^{4} (5 - ∣ x ∣) d x

Solution

24

Solution steps

\int_{- 4}^{4} 5 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} 5 - (- x) d x + \int_{0}^{4} 5 - x d x

\int_{- 4}^{0} 5 - (- x) d x = 12

\int_{0}^{4} 5 - x d x = 12

= 12 + 12

Simplify

= 24

Popular Examples

integral from 0 to t of 1000x+250

\int_{0}^{t} 1000 x + 250 d x

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

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

integral from-1 to 2 of (x^2+x-4)

\int_{- 1}^{2} (x^{2} + x - 4) d x

integral from 7 to 25 of x^2(x-7)/(162)

\int_{7}^{25} x^{2} \frac{x - 7}{162} d x

integral from 1 to e of (1+x^2)ln(x)

\int_{1}^{e} (1 + x^{2}) ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (5-|x|) ?
The integral from-4 to 4 of (5-|x|) is 24