integral du/(a^2-u^2)^1/2
arcsin (u/a) + c
integral du/a^2+u^2
(1/a)arctan (u/a) + c
integral of du/u(u^2-a^2)^1/2
(1/a)arcsec(|u|/a) + c
Integral of tan u du
-ln|cos u | + C
Integral of csc u
-ln|csc u + cot u| + C
Integral of sec u
ln|sec u + tan u | + C
Integral of cot u
ln|sin u | + C