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If f is integrable on [a, b], then f(x) dx = lim [f(I;)AT, i=1 where Ar - ba n and I; = a + iAc.

If f is integrable on [a, b], then f(x) dx = lim [f(I;)AT, i=1 where Ar - ba n and I; = a + iAc. Use this definition of the intergral to evaluate _, 3 -4x dx. First of all, we have 62 3 - 4x dx = lim 71-+00 Evaluating the sum gives 62 3 - Arde = lim

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