Hi, dear all:

I'm wondering how to integrate (exp(-sin(x)^2))*sin(x) with respect to x? I believe it has something to do with error function, but just can't figure out a right form. Pleas help me! Thank you very much.

simonwei

Printable View

- June 9th 2010, 01:18 PMsimonweiIntegration problem
Hi, dear all:

I'm wondering how to integrate (exp(-sin(x)^2))*sin(x) with respect to x? I believe it has something to do with error function, but just can't figure out a right form. Pleas help me! Thank you very much.

simonwei - June 9th 2010, 03:13 PMDeadstar
I'll post up where I'm at with this. Perhaps you will see it before I do.

Let , .

Integral becomes,

.

I further simplified this by letting , .

Then we get...

.

However I can't advance past this yet! Perhaps you can. - June 9th 2010, 09:46 PMsimplependulum

Sub.

It becomes

It is not the error function but it is close , seemingly no one can use a finite number of elementary functions to express this integral ... - June 10th 2010, 06:20 AMDeadstar
Nice solution simplependulum.

This is what I further thought of at 4am!

Let =>

Integral becomes...

EDIT: Apparently that minus should not be there (or there should be a minus in front of the ) but I can't figure out what I've done wrong after skimming over it.