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

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

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int (sqrt(tan x) + sqrt(cot x)) dx is equal to

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

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

int(sqrt(Tan x)+sqrt(cot x))dx=sqrt(K)sin^(-1)(sin x-cos x)+c where k is equal to

int sqrt(tan x) dx

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