Riemann sums is trash

No.12461641 ViewReplyOriginalReport
>Be me taking calculus course
>Learn about rieman sums.
>Rieman sums method gives an approximation of area, not the real value.
>fast forward a couple weeks.
>Introduced to integrals, method that does the same damn thing, but it's exact, shorter and a lot easier to understand.
>Go back to previous sections about riemans sums too get grades back up, now armed with far better technique.
>Says it's still wrong, but integral calculator says it's right. Double check my work to prove it extra
>check answers and it's simply not true. The "right" estimation is almost 3 off.
>TFW site is teaching me outdated and useless methods of solving problems.

Why are math-tards like this? What's the point of teaching me estimates if I have a method of finding the exact answer?