Hey guys! I'm looking for a(adsbygoogle = window.adsbygoogle || []).push({}); rigorousproof which shows that the definite integral does indeed give us the area under a curve or which proves how is a definite integral a summation process.

I already know that the any given function is the derivative of the function of its area but most of the books show this by considering y=x and the then finding the expression of the area by using the area of triangle and comparing it with the result obtained by integration.

Thanks in advance for any help you guys can offer. :)

Abdullah

(PS: Sorry for my bad English)

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# Definite Integration proof

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