Integral of Absolute Value of x: A Simple Explanation

Thread starter pureouchies4717
Start date Feb 8, 2006
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Integral

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The integral of the absolute value of x is expressed as ∫ |x| dx = (x|x|)/2 + C. This formula applies for all real values of x. The discussion references the Wolfram Research Functions website as a source for this information. The integral effectively captures the behavior of the absolute value function across its domain. Understanding this integral is essential for solving various mathematical problems involving absolute values.

Feb 8, 2006

pureouchies4717

what is the integral of absolute value of x?

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Feb 8, 2006

Tom McCurdy

(|x|x)/2 should be the answer

Last edited: Feb 8, 2006

Feb 8, 2006

benorin

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nick727kcin said:

what is the integral of absolute value of x?

For real x, \int |x|dx = \frac{x|x|}{2}+C

this was not my work, but rather I looked it up here, on the Wolfram Reasearch Functions website, namely

http://functions.wolfram.com

--Ben

Feb 8, 2006

pureouchies4717

thanks guys

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