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Popular >

integral from 0 to 17 of |15-x|

Solution

\int_{0}^{17} ∣ 15 - x ∣ d x

Solution

\frac{229}{2}

+1

Decimal

114.5

Solution steps

\int_{0}^{17} ∣ 15 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{15} 15 - x d x + \int_{15}^{17} - 15 + x d x

\int_{0}^{15} 15 - x d x = \frac{225}{2}

\int_{15}^{17} - 15 + x d x = 2

= \frac{225}{2} + 2

Simplify

\frac{225}{2} + 2 : \frac{229}{2}

= \frac{229}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 17 of |15-x| ?
The integral from 0 to 17 of |15-x| is 229/2