riemann sum

  1. A

    Converting a limit into an integral.

    When we write $$ \lim_{n\to \infty} \sum_{I=1}^{n} f \left(a+ \frac{(b-a)}{n} i \right) \frac{(b-a)}{n} = \int_{a}^{b} f(x) dx $$ I really get a very big doubt about what is f(x). And most importantly what is $x$? Is $x$ the whole expression $\left(a+ \frac{(b-a)}{n}i\right)$ or $ i \rightarrow...
  2. S

    Could someone please explain how a specific part of the expression for the Riemann su

    I'm really sorry if this post is not appropriate for this forum. My math level is quite low and it might have been because of that I could not understand this concept. So, the problem that I have is that I don't understand how a part of this expression is generated: 1. $$S =\sum_{i=1}^n 2...