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int(0)^( pi)sqrt(tan x)dx+int(0)^((pi)/(...

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

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

The value of int_(0)^(pi/4) sqrt(tanx) dx+int_(0)^(pi/4) sqrt(cotx) dx is equal to

int_(0)^( pi)sqrt(1+sin x)dx

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

The value of int_0^(pi//4) sqrt(tan x dx) +int_0^(pi//4) sqrt(cot x dx) is equal to

int_(0)^((pi)/(4)) sqrt(1+sin 2x) dx =

int_(0)^(pi//4)sqrt(1+cos2x)dx

int_(0)^(pi//2) sqrt(1- cos 2x) dx

int_(0)^(pi//2) sqrt(1- cos 2x) dx