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Popular >

integral from 0 to 8 of |5-x|

Solution

\int_{0}^{8} ∣ 5 - x ∣ d x

Solution

17

Solution steps

\int_{0}^{8} ∣ 5 - x ∣ d x

Eliminate Absolutes

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

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

\int_{5}^{8} - 5 + x d x = \frac{9}{2}

= \frac{25}{2} + \frac{9}{2}

Simplify

\frac{25}{2} + \frac{9}{2} : 17

= 17

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\int_{1}^{e} x^{3} (ln (x))^{2} d x

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\int_{- 5}^{5} x^{- 2} d x

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\int_{- 3}^{+ 3} (e^{x} + e^{- x}) d x

integral from 0 to 2pi of (t)^2

\int_{0}^{2 π} (t)^{2} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of |5-x| ?
The integral from 0 to 8 of |5-x| is 17