\int{1+cosx}/{x(1-x^2 e^{2sinx})} dx =

Correct Answer is : log |xesinx| - 12 log |1 - x2e2sinx| + c

log |xe^{sinx}| - 1/2 log |1 - x^2 e^{2sinx}| + c

log |xe^{sinx}| - 2 log |1 - x^2 e^{2sinx}| + c