Question

in finding the area of a region under a curve and between an interval [a,b] where x is greater than or equal to 0, we can use the formula below. I have been unable to understand what "i" stands for. Can someone please explain. The formula is in the comments.

Answer 1

\[\sum_{i=m}^{n} f(x) \Delta x\]

Answer 2

what does "i"stand for

Answer 3

you're missing some subscripts in the equation you post.
\[\sum_{i=m}^{n} f(x_i) ∆ x_i\]

basic variation, there are others.

hope that helps.

Answer 4

I know the sigma notation stands for the sum and Delta x stands for (b-a)/n where [a,b] is the interval and n stands for the number of partitions where as f(x) stands for a function but I have no idea what i stands for