My second course in analysis and i have a problem which i cant understand(adsbygoogle = window.adsbygoogle || []).push({});

Let f (x) = 1 if 2<=x<4

2 if x =4

-3, if 4<x<=7

Prove that this function is integrable on [2,7], state its value and prove that it is what you say it is.

Obviously integral of f from [2,7] is -7. but its proof and the integrability have me and my friends snagged.

Suggestions anyone?

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# Proof of the integrability of a step function

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