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Popular >

integral from 0 to 8 of |x-6|

Solution

\int_{0}^{8} ∣ x - 6 ∣ d x

Solution

20

Solution steps

\int_{0}^{8} ∣ x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{6} - x + 6 d x + \int_{6}^{8} x - 6 d x

\int_{0}^{6} - x + 6 d x = 18

\int_{6}^{8} x - 6 d x = 2

= 18 + 2

Simplify

= 20

Graph

Popular Examples

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\int_{x}^{1} 8 x y d y

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\int_{0}^{1} sin (x) d x

integral from 1 to e^x of 6ln(t)

\int_{1}^{e^{x}} 6 ln (t) d t

integral from-1 to 5 of (x+3)

\int_{- 1}^{5} (x + 3) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of |x-6| ?
The integral from 0 to 8 of |x-6| is 20