Is there any fixed criteria by which we can say that a function can be integrated or not ?

Question

anonymous · Answer

http://en.wikipedia.org/wiki/Riemann_integral#Integrability

mathslover · Answer

Never learnt about that type of integrability , will study and then tell you whether it helped or not :)

mathslover · Answer

Thanks for the response though @oldrin.bataku . I really appreciate that.

anonymous · Answer

no problem @mathslover! do you understand the conditions? the function must be *bounded* and *continuous almost everywhere* (i.e. set of discontinuities is *null*) on a *compact* interval.

mathslover · Answer

I understand continuity. But, what about bounded ?

mathslover · Answer

And compact interval means a closed interval. Right ?

mathslover · Answer

Okay I think I got it. Thanks a lot @oldrin.bataku

anonymous · Answer

bounded just means our function has both a real-valued ceiling and floor on our interval... for example, a function like $1/x$ cannot be integrated on any interval containing $x=0$ in the Riemann sense because its growth cannot be "capped":|dw:1375406449085:dw|