e^(x)log sqrt(x)tan x

If y = e^(log sqrt(1+tan^(2)x) , then dy/dx =

(d)/(dx)(e^(x)+log x+tan x+x^(6))

int(e^(log sqrt(x)))/(x)dx=

int(e^(log sqrt(x)))/(x)dx

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

e^(tan^(-1)x)log(tan x)

(d)/(dx)[log((x)/(e^(tan x)))]=

If y=log sqrt((1+tan x)/(1-tan x)), Prove that (dy)/(dx)=sec2x