Question

Use the form of the definition of the integral as the limit of a partial sum and the formulas for the sum of powers of positive integers to evaluate the following integral:

Answer 1

\[\int_{1}^{3}(2x^3+5x-4)dx\] It's asking for an answer in terms of \(n\) and \(i\).
While I understand how to do this in normal summation form, this is confusing. What exactly am I supposed to put after this...\[\lim_{n\rightarrow\infty}\sum_{i=1}^{n}f(x_{i})\Delta x\]

Answer 2

i think u gotta first write xi as x+deltax*i

Answer 3

oh yeah, left that out on accident. sorry...\[\lim_{n\rightarrow\infty}\sum_{i=1}^{n}f(x_{i}*)\Delta x\]