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28-07-2017
Mathematics

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Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.

Respuesta :

28-07-2017

With an absolute value somewhere in the formula, you can create a discontinuous function.

how about f(x) = |x|/x

It jumps from -1 to +1 at x=0, yet it can be integrated on [-1,1]. The surface is 2.

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