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**Homework Statement**

Integrate: [tex] \exp(\sin(t)) / (1 + t^2) [/tex]

**The attempt at a solution**

Ok so I tried substituting u=sin(t) du=cos(t)dt but I end up with (1 + arcsin^2(u)) on the bottom and I don't know how to integrate that.

I also tried letting t=cos(u) dt=-sin(u)du but then I end up with e^(sin(cos(t)) which I've never seen before!

If anyone knows how to do this please just give me a hint or the first step to take and I will try to do the rest! Thanks