With Maple 18.02 and 2017.2 on OSX 10.13.6:
restart:
int( exp(a*exp(I*x)) ,x=-Pi..Pi);
0
but we get the correct answer for numerical a, e.g.
restart:
int( exp(1*exp(I*x)) ,x=-Pi..Pi);
2 Pi
Is this fixed in version 2018.1?
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