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Popular >

integral from 0 to 5 of |5x-10|

Solution

\int_{0}^{5} ∣ 5 x - 10 ∣ d x

Solution

\frac{65}{2}

+1

Decimal Notation

32.5

Solution steps

\int_{0}^{5} ∣ 5 x - 10 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - 5 x + 10 d x + \int_{2}^{5} 5 x - 10 d x

\int_{0}^{2} - 5 x + 10 d x = 10

\int_{2}^{5} 5 x - 10 d x = \frac{45}{2}

= 10 + \frac{45}{2}

Simplify

10 + \frac{45}{2} : \frac{65}{2}

= \frac{65}{2}

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |5x-10| ?
The integral from 0 to 5 of |5x-10| is 65/2