Sometimes I find this notation and I get confused:
∫R(cosx,sinx)dx
Does it mean a rational function or taking rational operations between cosx and sinx ?
Can you explain please?
Update: I think you did not understand the question well,
Here is an example (maybe it is a lemma or a theorem):
All the integrals of the form ∫R(cosx,sinx)dx can be evaluated using the substitution
u=tanx2.
I think that R here does not stand for a rational function but for taking rational operations(addition, subtraction, multiplication, division) between cosx and sinx
Update : I did not noticed that R is a rational function of two variables and that means exactly that we are taking rational operations.
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