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# What is the anti-derivative of the absolute value of x over x?

Wiki User

2010-11-15 00:52:23

For positive x, this expression is equal to 1. The integral (anti-derivative) is therefore x + C (where C is the arbitrary integration constant).

For negative x, this expression is equal to -1, and the integral is -x + C.

Wolfram Alpha gives the integral as x times sgn(x), where sgn(x) is the "sign" function.

Wiki User

2010-11-15 00:52:23
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