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Anonymous No. 16210114

[eqn]\lim_{n \to \infty}\sum_{k=1}^{n}f(\xi_{k})\Delta x_{k}=\int_{a}^{b}f(x)\,dx[/eqn]

Anonymous No. 16210120

>>16210114
Calc 1, 1D integration introdction

Anonymous No. 16210140

>>16210114
This not true for general continuous f.

Anonymous No. 16211182

Not true for -1/X. dx. Given negative x values
Or negative n values
N----> -inft. -x values < or =0
At n

Ie. + Or - K still =0

Except when K(n+1)> 0
Or K does equal 0

Anonymous No. 16211191

>>16210120

series is calc 2, calc 1 would be epsilon delta limits