Strange integral of heaviside step function

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I ran across this integral while reading Ashcroft and Mermin's solid state physics book....

∫Θ(f - f(t) )dt = t_max - t_min

Where Θ is the heaviside step function and the integral runs from 0 to infinity.

Does anyone have any idea how this integral makes sense?
 

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I ran across this integral while reading Ashcroft and Mermin's solid state physics book....

∫Θ(f - f(t) )dt = t_max - t_min

Where Θ is the heaviside step function and the integral runs from 0 to infinity.

Does anyone have any idea how this integral makes sense?
Can you post a picture of the page that shows this integral?
 

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