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?

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# The two meanings of the integral sign

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