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" 10."tan((x)/(sqrt(a^(2))-x^(2)))...

" 10."tan((x)/(sqrt(a^(2))-x^(2)))

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

tan^(-1)""(x)/(sqrt(a^(2)-x^(2))),|x|lt a

tan^(-1)""(x)/(sqrt(a^(2)-x^(2))),|x|lt a

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

int(1+tan^(2)x)/(sqrt(tan^(2)x+3))

Evaluate (x)/(sqrt(a^(2)+x^(2))) where a=x tan theta .

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

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