Sin n u = n u' sin n-1 u cos u
Cos n u = -n u' cos n-1 u sin u
Tan n u = n u' tan n-1 u [(1+tan u) = 1 / cos 2 u = sec2 u ]
Cot n u = -n u' cot n-1 u [(1+cot u) = 1 / sin 2 u = csc 2 u]
Sec n u = n u' sec n u tan u
Csc n u = -n u' csc n u cot u
{tan u du = ln ! sec u ! + c
{cot u du = ln ! sin u ! + c
{sec u du = ln !sec u + tan u ! + c
{csc u du = ln ! csc u – cot u ! + c
{du / a 2 + u 2 = 1/a arc tan u/a + c
{du / a 2 – u 2 = 1/2a ln !a+u / a-u ! + c
{du / u 2 +- a 2 = ln ! u + u 2 +- a 2 ! + c
{du / ! u ! u 2 – a 2 = 1/a arcsec ! u/a ! + c