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tan^(-1)((sqrt(1+x^(2))+1)/(x))quad (BTE...

tan^(-1)((sqrt(1+x^(2))+1)/(x))quad (BTE,2016)

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tan^(-1)(x+sqrt(1+x^(2)))=

tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

tan[(sqrt(1+x^(2))-1)/x] =

tan^-1 [(1)/(sqrt(x^2-1))]

tan^(-1)((1)/(sqrt(x^(2)-1))),|x|>1

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(sqrt(1-x^(2)))) .

Prove that tan^(-1)backslash(sqrt(1+x^(2))-1)/(x)=(1)/(2)tan^(-1)x

tan^(- 1)(1/(sqrt(x^2-1))),|x|gt1

"tan"^(-1)1/(sqrt(x^(2)-1))|x|gt1