" RD2"quad [" (5) "f_(0)^( pi/4)(sqrt(tan x)+sqrt(cot x))dx," ax "(1)/(4)ln pi],[-1," 2x "-1-x^(2)]

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

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

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)/(1+sqrt(tan x))dx=

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

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

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

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

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