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Popular >

integral from-2 to 20 of |x-10|

Solution

\int_{- 2}^{20} ∣ x - 10 ∣ d x

Solution

122

Solution steps

\int_{- 2}^{20} ∣ x - 10 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{10} - x + 10 d x + \int_{10}^{20} x - 10 d x

\int_{- 2}^{10} - x + 10 d x = 72

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

= 72 + 50

Simplify

= 122

Graph

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\int_{- 1}^{2} 6 x (x^{2} - 1)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 20 of |x-10| ?
The integral from-2 to 20 of |x-10| is 122