cos x dx = sin x + C 
sin x dx = -cos x + C 
sec² x dx = tan x + C 
csc x cot x dx = -csc x + C 
sec x tan x dx = sec x + C 
csc² x dx = -cot x + C

For each of these, we simply use the Fundamental of Calculus, because we know their corresponding derivatives.

cos(x) =  sin(x), cos(x) dx = sin(x) + c

-sin(x) =  cos(x), sin(x) dx = -cos(x) + c

sec^{^2}(x) =  tan(x), sec^{^2}(x) dx = tan(x) + c

-csc(x)cot(x) =  csc(x), csc(x)cot(x) dx = -csc(x) + c

sec(x)tan(x) =  sec(x), sec(x)tan(x) dx = sec(x) + c

-csc^{^2}(x) =  cot(x), csc^{^2}(x) dx = -cot(x) + c

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