Let `I=int_0^oo(cosx+4)/(3sinx+4cosx+25)dx and J=int_0^(pi/2)(sinx+3)/(3sinx+4cosx+25)dx` If `25I=api+b/n c/d` where `a,b,c and d in N and c/d` is not perfect square of a rational then find the value of `(a+b+c+d).`

Let I=int_(0)^(oo)(cos x+4)/(3sin x+4cos x+25)dx and J=int_(0)^((pi)/(2))(sin x+3)/(3sin x+4cos x+25)dx If 25I=a pi+(b)/(n)(c)/(d) where a,b,c and d in N and (c)/(d) is not perfect square of a rational then find the value of (a+b+c+d)

int_0^(pi/2) (cosx-sinx)/(1+sinx cosx) dx =

int_0^(pi/2) (sinx-cosx)/(sinx+cosx) dx =

int_(0)^(pi//2)(4sinx+3cosx)/(sinx+cosx)dx=

If A=int_(0)^(pi)(sinx)/(sinx+cosx)dx and B=int_(0)^(pi)(sinx)/(sinx-cosx)dx , then

int(2sinx+3cosx)/(3sinx+4cosx)dx =?

If A=int_(0)^(pi)(sinx)/(sinx+cosx)dx, B=int_(0)^(pi)(sinx)/(sinx-cosx)dx , then