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" 4."int(0)^( pi/2)(1)/(1+sqrt(t)a(n))dx...

" 4."int_(0)^( pi/2)(1)/(1+sqrt(t)a_(n))dx=pi

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

int_(0)^(pi//2)(1)/((1+sqrt(cotx)))dx=?

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

int_(0)^(pi/2)(dx)/(1+sqrt(cotx))

int_(0)^((pi)/(2))(dx)/(1+sqrt(tanx)) is :

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

By using the properties of definte, prove that int_(0)^(pi//2)(dx)/(1+sqrt(cotx))=(pi)/4

int_(0)^(pi//2)(sinx)/(sqrt(1+cosx))dx

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