Q: Learning order: improper integrals or integrals applications first? 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.
