What is the integral of ∫ e^ (x^2 +sinx) dx ?

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What is the integral of ∫ e^ (x^2 +sinx) dx


I got the answer e^(x^2+sinx)/(2x+cosx) but I know that is wrong. I don't understand how you treat the + part for an e^() problem.
 
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There is presumably no closed form solution involving elementary functions.

Mathematica agrees: http://integrals.wolfram.com/index.jsp?expr=e^(x^2+%2B+sin(x))&random=false
 

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