Not all expressions have analytic integrals. That seems to be one of them. The best you can hope for is to expand it to a series and integrate that:
syms x real
Eqn = exp(x)/(1-tan(x));
EqnTylr = taylor(Eqn, 'Order', 10);
Result = vpa(int(EqnTylr, x), 7)
Result =
1.227911*x^10 + 1.071564*x^9 + 0.946875*x^8 + 0.8501984*x^7 + 0.7805556*x^6 + 0.7416667*x^5 + 0.75*x^4 + 0.8333333*x^3 + x^2 + x
Best Answer