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)

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

Dismiss Notice

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!

# Definite Integration proof

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