If `I=int(sinx+sin^3x)/(cos2x) dx`=`Pcosx+Q log|f(x)|+R`,then
A. `A=/4, B=-1/sqrt(2), f(x) = (sqrt(2)cosx-1)/(sqrt(2)cosx+1)`
B. `A=-1/2, B=-3/(4sqrt(2)), f(x) = (sqrt(2)cosx-1)/(sqrt(2)cosx+1)`
C. `A=-1/2, B=3/sqrt(2), f(x) = (sqrt(2)cosx+1)/(sqrt(2)cosx-1)`
D. `A=1/2, B=-3/(4sqrt(2)), f(x) = (sqrt(2)cosx-1)/(sqrt(2)cosx+1)`