power series for arc [ tan (x) ]

power series for arc [ tan (x) ] in powers of x

power series for inverse function of tan(x)

let y  = arc [ tan (x) ]

differentiate y with respect to x once to get y' and find y'(0)

then expand the derivative [ 1 + x^2]^ (-1) using  binomial series

now you can differentiate the series as many times as you want and replace x with 0 .

Use the values to substituted into Mc laurin's series or Taylor's series.

mclaurin's power series for ln(1+x) 

approximation of an integral using binomial series

disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work