(v)e^(sqrt(tan x))

Differentiate e^(sqrt(tan x)) from first principles

Find y=e^(sqrt(tan x)) then find the value of (dy)/(dx)

int_((pi)/(6))^((pi)/(3))(sqrt(tan x))/(sqrt(tan x)+sqrt(cot x))dx

int_(0)^((pi)/(2))(sqrt(tan x))/(sqrt(tan x+sqrt(cot x)))dx

Find from the first principle , the derivatives of the following functions w.r.t.x: e^(sqrt(tan2x))

int((e^(sqrt(x))-e^(-sqrt(x)))cos(e^(sqrt(x))+e^(-sqrt(x))+(pi)/(4))+(e^(sqrt(x))+e^(-sqrt(x)))cos(e^(sqrt(x))-e^(-sqrt(x))+(pi)/(4)))/(sqrt(x))

Check whether the function h(x)=(sqrt(sin x)-sqrt(tan x))(sqrt(sin x)+sqrt(tan x)) is whether odd or even.

Prove that :int(sqrt(tan x))/(sqrt(tan+sqrt(cot x)))=(pi)/(4)

lim_(x rarr0)(sqrt(1+tan x)-sqrt(1-tan x))/(sin x)=