" (f) "int(0)^( pi/2)(1)/(1+sqrt(tan x))...

" (f) "int_(0)^( pi/2)(1)/(1+sqrt(tan x))dx=(pi)/(4)

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

int_(0)^((pi)/(2))(1)/(1+tan x)dx

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

int_(0)^((pi)/(2))(1)/(cot x+tan x)dx

int_(0)^( pi/2)(dx)/(1+tan^(5)x)

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

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

int_(0)^(pi//2)(1)/(1+tan^(3)x)dx=

int_(0)^(pi//2)(dx)/(1+tan^(3)x)=

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