Does it make sense to talk about the area of the region {(x,y)|x[itex]\in[/itex][a,b];y[itex]\in[/itex][0,f(x)]} for a positive function f defined on an interval [a,b], where a,b[itex]\in[/itex]ℝ and f is integrable on that interval, even if the function is not continuous?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The area under a discontinuous & integrable function

**Physics Forums | Science Articles, Homework Help, Discussion**