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int sqrt(tan x)+sqrt(cot x)...

int sqrt(tan x)+sqrt(cot x)

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

int _(0)^(pi//4) [ sqrt(tan x)+ sqrt(cot x)] dx is equal to

int _(0)^(pi//4) [ sqrt(tan x)+ sqrt(cot x)] dx is equal to

int sqrt(tan x) dx

int sqrt(tan x)dx

int sqrt(tan x)dx

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