Integration exp(x)

Hi guys, whenever i try to integrate exp(x)/(1-tan(x)) it gives me the same results as the input

syms x
  int(exp(x)/(1-tan(x)),x)

ans = 
-int(exp(x)/(1-tan(x)),x)

please help if you can

[Andrei Bobrov]

use numeric integral

[Rena Berman]

(Answers dev) Restored question.

Answer 1

[Star Strider]

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

[Star Strider]

Apparently the Symbolic Math Toolbox gets stuck, but Wolfram Alpha manages to do it. Click on the link to see the result.