Doubt in explanation of Riemann Sum explanation given in book "Elementary Calculus: An Infinitesimal Approach".
explaining Definite Integral,
I couldn't understand how the value $dx$ (the width of a vertical strip/rectangle ) obtained from $dx = \frac{b - a}{n}$, cannot divide evenly into the interval length $b - a$.
check the calculation in below link calculated $n$-th value is not getting greater than $b$. It can evenly divided. http://jsbin.com/bogiwaxina/edit?js,console
Can anyone explain me a case, where the calculate dx cannot get evenly divided ?
It can always be divided evenly. The Riemann sum theorem says that it does not have to be, that is, it may be divided unevenly, we still get the right limit (the integral) if the largest length goes to zero.