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dy/dx sin(u)
cos(u)
dy/dx tan(u)
sec²(u)
dy/dx sec(u)
sec(u)tan(u)
dy/dx eu
eu(u’)
dy/dx loga(u)
u’/uln(a)
dy/dx arcsin
(u’)/sqrt(1-u²)
dy/dx arcsec
(u’)/|x|sqrt(u²-1)
dy/dx cos(u)
-sin(u)
dy/dx cot(u)
-csc²(u)
dy/dx csc(u)
-csc(u)cot(u)
dy/dx ln(u)
1/u (u’)
dy/dx au
auln(a)(u’)
dy/dx arctan
(u’)/(1+u²)
∫1/u du
ln|u|+C
∫tan(u) du
-ln|cosu|+C
∫sec2(u) du
tan(u)+C
∫cos(u)du
sin(u)+C
∫eudu
eu+C (u sub)
∫cot(u)du
ln|sin(u)|+C
∫csc(u)du
-ln|csc(u)cot(u)|+C
∫csc(u)cot(u)du
-csc(u)+C
∫sin(u)du
-cos(u)+C
∫audu
au/ln(a)+ C
∫sec(u)tan(u)du
sec(u)+C
∫sec(u)du
ln|sec(u)+tan(u)+C
∫csc²(u)du
-cot(u)+C
∫Xndx
1/(n+1) (xn+1 )