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integrate(sin(x)*exp(x^2),x)

 
                1/4                2 %I x + 1        2 %I x - 1
...
                                       2                 2
              ---------------------------------------------------
                                       4

integrate(sin(x)*exp(x^2),x,0,1)

       1/4                2 %I + 1        2 %I - 1       1/4          
+     1
     %E    SQRT(%PI) (ERF(--------) - ERF(--------))   %E    SQRT(%PI)
+ ERF(-)
                             2               2                        
+     2
 ----------------------------------------------- - -------------------
+---
                            4                                    2