Question

Hey guys, looking for some help out there on some basic integral calculus. I was reviewing some of the summation questions/rieman sums, and there are two that I just dont see how they work. Now I already have the answers, but im more looking to understand it so if someone can explain thatd be great. I will post the questions below

Answer 1

Integration is finding the area between a curve and the axis.

Answer 2

Write the lim \[n\]\[\rightarrow infinity\] \[\sum_{k=1}^{n} k/n^2+ k^2\] as an integral