- #1

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Ʃ[itex]^{n=1}_{∞}[/itex]f(x

_{i})Δx

_{i}= ∫[itex]^{b}_{a}[/itex]f(x)dx

However, I think that (a,b) is the continuous interval, so the number of rectangle should be

**c**instead of [itex]\aleph[/itex]

_{0}(cardinality of natural number

**N**).

So I wonder whether there are some problem that this definition is not valid anymore.