" 11."(tan x+cot x)/(log_(e)x)

y = (tan x) / (x) log_ (e) ((e ^ (x)) / (x ^ (x)))

Prove that: int_(0)^( pi/2)log|tan x+cot x|dx=pi log_(e)2

int(x^(3)-1)/(x^(3)+x)dx is equal to a) x-log_(e)|x|+log_(e)(x^(2)+1)-tan^(-1)x+C b) x-log_(e)|x|+1/2log_(e)(x^(2)+1)-tan^(-1)x+C c) x+log_(e)|x|+1/2log_(e)(x^(2)+1)+tan^(-1)x+C d)None of these

If "log"_("cos"x) "tan" x + "log"_("sin"x) "cot" x =0, then x =

If "log"_("cos"x) "tan" x + "log"_("sin"x) "cot" x =0, then x =

Range of f(x)=cot^(-1)(log_(e)(1-x^(2))) is

If f(x)=(tan((pi)/(4)+log_(e)x))^(log_(x)e) is to be made continuous at x=1, then what is the value of f(1)?

differentiate (tan x)^(cot x)+(cot x)^(tan x)

If f(x)=(log_(cot x)tan x)(log_(tan x)cot x)^(-1)+tan^(-1)((x)/(sqrt(4-x^(2)))) then f'(0) is equal to