`int(sinx+cosx)/(sinx-cosx)dx`

If I(x)=int(sinx-cosx)/(|sinx-cosx|)dx , where (pi)/4ltxlt(3pi)/8 and (I0)=0 then choose correct option(s)

If int(sinx+3cosx)/(sinx+cosx)dx=(kx)/(2)+ln(sinx+cosx) , then k is_________.

Evaluate: int(sinx+2cosx)/(2sinx+cosx)dx

Evaluate the following integrals : (i) int(cosx)/(2sinx+3cosx)dx (ii) int(2sinx+cosx)/(7sinx-5cosx)dx ,br. (iii) int(5sinx+6)/(2cosx+sinx+3)dx

Evaluate : int(sinx+cosx)/(sin(x-a))dx

Evaluate: (i) int(sinx+2cosx)/(2sinx+cosx)\ dx (ii) int(cos4x-cos2x)/(sin4x-sin2x)\ dx

Evaluate: int(2sinx+3cosx)/(3sinx+4cosx)\ dx

Evaluate: int(4sinx+5cosx)/(5sinx+4cosx)\ dx

int(1+sinx)/(sinx(1+cosx))dx

int(1+sinx)/(sinx(1+cosx))dx