A hard integral!
Author Message
A hard integral!

:  Dear math folks:
:       Can someone give me any comments or suggestions to solve
:  the following symbolic integral?

:       /
:      |            1
:      | ------------------------   dy
:      |  1+k*y*(1-exp(-(y/A)^2))
:     /

:     in which 'A' and 'k' both are any positive constants.

:  I have tried several ways,for example,Maple, Mathcad, Mathematica.
:  But found no solutions. I need your help!

Try one of the "old fashioned" ways: integration by
differentiation under the integral sign.  For details,
see, for example,  "Advanced Calculus" by Woods.

-- Wetboy

Fri, 24 Aug 2001 03:00:00 GMT
A hard integral!

Quote:

> Dear math folks:

comp.lang.c is for discussing the C programming language, it is not a
mathematics related newsgroup. Try something like sci.math instead.

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Fri, 24 Aug 2001 03:00:00 GMT
A hard integral!

Quote:

>> Dear math folks:
>>      Can someone give me any comments or suggestions to solve
>> the following symbolic integral?

>>      /
>>     |            1
>>     | ------------------------   dy
>>     |  1+k*y*(1-exp(-(y/A)^2))
>>    /

>>    in which 'A' and 'k' both are any positive constants.

>> I have tried several ways,for example,Maple, Mathcad, Mathematica.
>> But found no solutions. I need your help!
>> Thank you all!

>Off topic.  Maple and Mathematica solve it instantly, so you're not trying
>very hard.
>Try here:
>http://www.integrals.com

FWIW mathematic at http://www.integrals.com _cannot_ solve it.

putting in 1/(1 + k * x * (1 - Exp [-((x/a)^2)])) resulted in
Mathematica was not able to do the integral you requested. If you think the integral can in fact be done, please send mail to

David C. Hoos, Sr.

p

Fri, 24 Aug 2001 03:00:00 GMT
A hard integral!

[snip]
Worked fine for me.  Try the on-line help.  Follow-ups to sci.math or