Integrate: tan^-1 (sec x+tan x) dx : x belong [-pi/2 ,pi/2 )

Answers (1)

Solution:   

          I= int 	an^-1(sec x +	an x)dx\ \ Rightarrow hspace1cmI=int 	an^-1(	an (fracpi4+fracx2))dx\ \ Rightarrow hspace1cmI=int (fracpi4+fracx2)dx \ \ Rightarrow hspace1cmI=fracpi4x+fracx^24+c

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