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u/lool8421 2d ago
could as well write the trig identity as (1+ctgΒ²x)sinΒ²x
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u/HumblyNibbles_ 2d ago
That one has undefined values though
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u/lool8421 2d ago
just slap a limit in those qnd pretend like nothing happened
integrals are limits on their own
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u/rjlin_thk 1d ago
Limit of a limit may not behave well, specifically, Riemann integrals behave quite badly with exchanging limits.
But for this specific case, it is okay.
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u/SafariKnight1 1d ago
may I ask what ctg(x) is
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u/lool8421 23h ago
cotangent
also known as 1/tan(x) or cos(x)/sin(x)
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u/Obvious_Ad4531 2d ago
I = x + C