The integral sign [tex]\int[/tex] can have two meanings:(adsbygoogle = window.adsbygoogle || []).push({});

(1) It indicates the Riemann sum, in which we don't actually integrate, but add the rectangles under the curve.

(2) It indicates the actual integration, in which we integrate (i.e. antidifferentiate) the function, either just to find the antiderivative (without limits but with a constant), or to find the area under a curve (with limits but without a constant).

But almost all of the times the integral sign indicates (2).

Is the above correct?

**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 two meanings of the integral sign

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