(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm trying to integrate the following form:

[tex]y = \int e^{\sin x} dx[/tex]

3. The attempt at a solution

I thought about trying to write something like:

[tex]y = \int e^{\frac{i}{2}e^{-ix} - \frac{i}{2}e^{ix}} dx[/tex]

But this seems to lead down the road of trying to integrate the form

[tex]\int e^{e^x} dx[/tex]

which seems similarly intractable.

Is there a way to reduce the expression to something simpler, or are you just left w/ leaving the expression in a form like:

[tex]y(x) = \int_{x_0}^x e^{\sin t} dt[/tex]

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# Homework Help: Trigonometric Integral

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