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Popular >

integral from-5 to 10 of 5-|x|

Solution

\int_{- 5}^{10} 5 - ∣ x ∣ d x

Solution

\frac{25}{2}

+1

Decimal

12.5

Solution steps

\int_{- 5}^{10} 5 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} 5 - (- x) d x + \int_{0}^{10} 5 - x d x

\int_{- 5}^{0} 5 - (- x) d x = \frac{25}{2}

\int_{0}^{10} 5 - x d x = 0

= \frac{25}{2} + 0

Simplify

= \frac{25}{2}

Graph

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\int_{1}^{4} x - 1 d x

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\int_{\frac{π}{2}}^{π} x cos (x) d x

integral from 1 to 3 of 1/y

\int_{1}^{3} \frac{1}{y} d y

Frequently Asked Questions (FAQ)

What is the integral from-5 to 10 of 5-|x| ?
The integral from-5 to 10 of 5-|x| is 25/2