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)


  • improper integrals

Here's our pdfs with exercises:

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.

  • 1
    $\begingroup$ You definitely need improper integrals for these questions. $\endgroup$ – Don Thousand Apr 6 at 16:51
  • $\begingroup$ Would you be able to point out just one specific exercise in which I would need the improper integrals? Also, I cannot accept your answer because it's a comment. $\endgroup$ – weno Apr 6 at 17:17

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