Re: Integral of exp(sin(x)) dx

In article <eo35b5$rhv$1@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Chris Rodgers <rodgers@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:
Hi,

I have a problem which involves finding integrals of the form

/ x=X
|
| exp(sin(x)) dx
|
/ x=0

or

/ x=X
|
| exp(a+b*x+sin(c*x)) dx
|
/ x=0

where a,b,c are real numbers.

Does anyone have any suggestions on how such an integral might be
tackled symbollically? I have already tried Maple and Mathematica on
these with no success.

For good reason; it cannot be done.

Alternatively, is there a compelling reason why such integrals CANNOT be
found (as opposed to my just not being smart enough to do them)?

There is a means of deciding whether an anti-derivative
can be computed in closed form. It is not always easy
to carry out.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.

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