Unlock the Most Challenging Integrals with Jacob

[Mandelbroth]

It wasn't a rhetoric question. I'm really curious about it. Not being an ace at integration could, somehow, stop me (or slow me down) from solving a physics problem in the more advanced courses or even in my late career?

Depending on what area of physics you enter, not being able to do calculus will hinder you. If we think of physics as a water park, the part of physics that doesn't involve calculus is analogous to the kiddie pool.

Math gets more difficult over time, though, and a lot of people seem to think that the level of difficulty goes

$$Arithmetic \rightarrow Algebra \rightarrow Calculus$$

whereas it really should be

$$Arithmetic \rightarrow Algebra \rightarrow Calculus \rightarrow Algebra \, again .$$

More advanced physics requires more advanced algebras. It is also worthwhile to consider learning linear and multilinear algebras to assist in advanced physics.

As for me, difficulty goes as

$$Calculus \rightarrow Algebra \rightarrow Arithmetic$$

 

[murshid_islam]

Here is a similar thread: How Good Am I?
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[mathnerd15]

is there a good text on Feynman path integrals? I read the general theory for this isn't solved