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Popular >

integral from-5 to 5 of (8-|x|)

Solution

\int_{- 5}^{5} (8 - ∣ x ∣) d x

Solution

55

Solution steps

\int_{- 5}^{5} 8 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} 8 - (- x) d x + \int_{0}^{5} 8 - x d x

\int_{- 5}^{0} 8 - (- x) d x = \frac{55}{2}

\int_{0}^{5} 8 - x d x = \frac{55}{2}

= \frac{55}{2} + \frac{55}{2}

Simplify

\frac{55}{2} + \frac{55}{2} : 55

= 55

Popular Examples

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

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

integral from 0 to 4 of 1/((x-2)^2)

\int_{0}^{4} \frac{1}{( x - 2 ) ^{2}} d x

integral from 0 to a of sin((pix)/a)

\int_{0}^{a} sin (\frac{π x}{a}) d x

integral from 0 to 1 of (y^4+y^6)

\int_{0}^{1} (y^{4} + y^{6}) d y

integral from pi/6 to pi/3 of cos(3x)

\int_{\frac{π}{6}}^{\frac{π}{3}} cos (3 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (8-|x|) ?
The integral from-5 to 5 of (8-|x|) is 55