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(22)/(22*(sqrt(tan x+sqrt(cot x))dx))...

(22)/(22*(sqrt(tan x+sqrt(cot x))dx))

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int sqrt(cot x)dx

Evaluate int_(0)^((pi)/(4))(sqrt(tan x)+sqrt(cot x))dx

int_(0)^((pi)/(2))(4sqrt(cot x))/(4sqrt(tan x) + 4sqrt(cot x)) dx

Show that : int_(0)^(pi//2) (sqrt(tan x) +sqrt(cot x))dx=sqrt(2)pi .

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

int_(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

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

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

Prove that: int_(0)^((pi)/(4))(sqrt(tan x)+sqrt(cot x)dx=sqrt(2)*(pi)/(2)