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What are the rules for evaluating an indefinite integral by by expanding the integrand in power series and integrating the power series term by term. Ask Question Asked 2 years, 4 months ago Modified 2 years, 4 months ago
What are the rules for evaluating an indefinite integral by by ...
Evaluating $\cos (i)$ Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago
calculus - Evaluating $\int \frac {1} { {x^4+1}} dx$ - Mathematics ...
This result can be obtained using double integrals with polar coordinates, among other things, but I'm particularly interested in evaluating this integral using power series.
Operation precedence is not a needed concept. One might argue that the correct precedence is none at all. Just write things in Polish (prefix), or Reverse Polish (postfix) notation. It's not like you'd stop doing Boolean Algebra if you did this. As Henning Makholm alludes to in his answer, operation precedence varies significantly between different contexts. So, who's the author using the ...
I see now how I can go about evaluating the limit itself although I still find the concept a little bit vague, as in considering a specific order for the expansion and then applying it for all the functions while leaving the rest of the series behind, it'll probably start making more sense in a few more examples.