I want a proof for the relation between the area under the curve and the antiderivative.

I don't understand how eventually the Riemann sum(Σ) turned into the definite integral (anti-derivative ∫ ) .

Question

I want a proof for the relation between the area under the curve and the antiderivative.

I don't understand how eventually the Riemann sum(Σ) turned into the definite integral (anti-derivative ∫ ) .

amistre64 · Answer

the reiman sum takes a limit as the division of the interval approaches infinity

y2o2 · Answer

Ok I know that.

amistre64 · Answer

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notice that we can approximate the area under a curve with simple rectangular forms, which is nice since the area of a rectangle is just height times width