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Popular >

integral from-5 to 5 of (6-|x|)

Solution

\int_{- 5}^{5} (6 - ∣ x ∣) d x

Solution

35

Solution steps

\int_{- 5}^{5} 6 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} 6 - (- x) d x + \int_{0}^{5} 6 - x d x

\int_{- 5}^{0} 6 - (- x) d x = \frac{35}{2}

\int_{0}^{5} 6 - x d x = \frac{35}{2}

= \frac{35}{2} + \frac{35}{2}

Simplify

\frac{35}{2} + \frac{35}{2} : 35

= 35

Graph

Popular Examples

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

integral from pi/3 to x of sin^2(t)

\int_{\frac{π}{3}}^{x} sin^{2} (t) d t

integral from 0 to 8 of-2x^2+16x

\int_{0}^{8} - 2 x^{2} + 16 x d x

integral from 1 to 7 of-1/7 x+1

\int_{1}^{7} - \frac{1}{7} x + 1 d x

integral from 3 to 4 of (x^2+x-12)

\int_{3}^{4} (x^{2} + x - 12) d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (6-|x|) ?
The integral from-5 to 5 of (6-|x|) is 35