I am first year's non-math student and during our calculus lectures we were first introduced to definite integrals and their applications, and then to improper integrals. After that we went straight for differential equations.
I am now preparing for an exam and I am wondering what should I learn first:
- integrals applications (area between curves, arc length; parametric functions)
or
- improper integrals
Here's our pdfs with exercises:
- https://www.docdroid.net/RrF6Q0r/int-appl.pdf (applications)
- https://www.docdroid.net/Ssvemuw/improp-int.pdf (improper integrals)
Would anyone be able to glance at those exercises from integral applications and give it a guess if I need to know improper integrals in order to solve some of them?
Basically, I am wondering if should I reverse the order introduced to us by the teacher and learn improper integrals first.
I just want to take the most optimal approach.
Kind of weird question, thank you for giving me an idea.