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Popular >

integral from 0 to 20 of |x-10|

Solution

\int_{0}^{20} ∣ x - 10 ∣ d x

Solution

100

Solution steps

\int_{0}^{20} ∣ x - 10 ∣ d x

Eliminate Absolutes

= \int_{0}^{10} - x + 10 d x + \int_{10}^{20} x - 10 d x

\int_{0}^{10} - x + 10 d x = 50

\int_{10}^{20} x - 10 d x = 50

= 50 + 50

Simplify

= 100

Graph

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\int_{2}^{4} 64 - x^{3} d x

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\int_{2}^{5} (2 + 2 x) d x

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\int_{0}^{b} \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 20 of |x-10| ?
The integral from 0 to 20 of |x-10| is 100