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Popular >

integral from-4 to 4 of (7-|x|)

Solution

\int_{- 4}^{4} (7 - ∣ x ∣) d x

Solution

40

Solution steps

\int_{- 4}^{4} 7 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 4}^{0} 7 - (- x) d x + \int_{0}^{4} 7 - x d x

\int_{- 4}^{0} 7 - (- x) d x = 20

\int_{0}^{4} 7 - x d x = 20

= 20 + 20

Simplify

= 40

Graph

Popular Examples

integral from-3 to 3 of 4-x^2

\int_{- 3}^{3} 4 - x^{2} d x

integral from 2 to 3 of 3/(x^2)

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

integral from 0 to s of 3e^x

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

integral from 1.1 to 1.3 of e^xln(x)

\int_{1.1}^{1.3} e^{x} ln (x) d x

integral from 0 to 4 of x/(1+sqrt(2x+1))

\int_{0}^{4} \frac{x}{1 + 2 x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (7-|x|) ?
The integral from-4 to 4 of (7-|x|) is 40