Question

Definite integral calculus problem!!

Answer 1

Well, the multiple on the outside is the "width" when we're talking about summations. In terms of an actual integral, the top number, 2 in this case, represents the upper limit minus the lower limit. In this case, we can interpret it to be (2-0)/n, meaning the integral limits are from 0 to 2.

All x's in the equation are replaced with k/n and, apart from that, will pretty much mirror the form of the original equation. So since we have \((1+\frac{k}{n})^{2}\), that means the original was \((1+x)^{2}\). So if that explanation makes sense, you should be able to pick out the correct answer :)