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d(sec⁻¹u)
du/(|u|√u²-1)
d(csc⁻¹u)
-du/(|u|√u²-1)
∫du/(|u|√(u²-a))
(1/a) × sec⁻¹(|u|/a) + C or (-1/a) × csc⁻¹(|u|/a) + C
∫secu du
ln(sec u + tan u) + C
∫cscu du
-ln(csc u + cot u) + C
∫tanu du
-ln|cosu| + C or ln|secu| + C
∫cotu du
ln|sinu| +C
If h(x) = f(x)g(x), then h'(x) = ?
f'(x)g(x) + f(x)g'(x)
If k(x) = p(x)/q(x), then k'(x) = ?
( p'(x)q(x) - q'(x)p(x) ) / (q(x))^2
If l(x) = r(s(x)), then l'(x) = ?
s'(x) × r'(s(x))