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Author: DonoDono Date: Apr 29, 2008 16:56
I input the following into the web-based Mathematica and it timed out
before giving an answer. Can anyone help finding out if there is a
symbolic answer:
sin[x]*sqrt(1-a*(cos[x])^2*((1+sin[x])^2/(1+a*sin[x])^2+(1-
a)*cos[x]^2))
Please copy and paste the formula in order to avoid introducing
errors. Thank you.
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Author: DonoDono Date: Apr 29, 2008 17:02
Sorry, wrong integrand, here is the correct one:
sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
a)*(cos[x])^2))
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Author: Eric GisseEric Gisse Date: Apr 29, 2008 18:21
On Apr 29, 4:02Â pm, Dono comcast.net> wrote:> Sorry, wrong integrand, here is the correct one:
>
> sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
> a)*(cos[x])^2))
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Author: Tom RobertsTom Roberts Date: Apr 29, 2008 18:22
Mathematica uses Sin[] and Cos[].
Tom Roberts
Dono wrote:
> I input the following into the web-based Mathematica and it timed out
> before giving an answer. Can anyone help finding out if there is a
> symbolic answer:
>
> sin[x]*sqrt(1-a*(cos[x])^2*((1+sin[x])^2/(1+a*sin[x])^2+(1-
> a)*cos[x]^2))
>
> Please copy and paste the formula in order to avoid introducing
> errors. Thank you.
>
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Author: DonoDono Date: Apr 29, 2008 19:17
On Apr 29, 6:22 pm, Tom Roberts sbcglobal.net> wrote:> Mathematica uses Sin[] and Cos[].
>
> Tom Roberts
>
> Dono wrote:
>> I input the following into the web-based Mathematica and it timed out
>> before giving an answer. Can anyone help finding out if there is a
>> symbolic answer:
>
>> sin[x]*sqrt(1-a*(cos[x])^2*((1+sin[x])^2/(1+a*sin[x])^2+(1-
>> a)*cos[x]^2))
>
>> Please copy and paste the formula in order to avoid introducing
>> errors. Thank you.
It recognized the lower case, this is not the problem.
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Author: DonoDono Date: Apr 29, 2008 19:18
On Apr 29, 6:21 pm, Eric Gisse gmail.com> wrote:> On Apr 29, 4:02 pm, Dono comcast.net> wrote:
>>> Sorry, wrong integrand, here is the correct one:
>
>> sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
>> a)*(cos[x])^2))
Excellent! Thank you , Eric!
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Author: David W. CantrellDavid W. Cantrell Date: Apr 29, 2008 21:42
> On Apr 29, 6:21 pm, Eric Gisse gmail.com> wrote:>> On Apr 29, 4:02 pm, Dono comcast.net> wrote:
>>>>> Sorry, wrong integrand, here is the correct one:
>>
>>> sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
>>> a)*(cos[x])^2))
>
> Excellent! Thank you , Eric!
Your jubilation is, I think, premature. If you differentiate the supposed
antiderivative shown there, you get just
sin(x) sqrt(1 - a cos(x)^2)
which is not equal to the given integrand.
David
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Author: DonoDono Date: Apr 29, 2008 21:54
On Apr 29, 9:42 pm, David W. Cantrell sigmaxi.net> wrote:> Dono comcast.net> wrote:>> On Apr 29, 6:21 pm, Eric Gisse gmail.com> wrote:>>> On Apr 29, 4:02 pm, Dono comcast.net> wrote:>
>>>> Sorry, wrong integrand, here is the correct one:
>
>>>> sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
>>>> a)*(cos[x])^2))
>
>
>> Excellent! Thank you , Eric!
>
> Your jubilation is, I think, premature. If you differentiate the supposed
> antiderivative shown there, you get just
>
> sin(x) sqrt(1 - a cos(x)^2)
>
> which is not equal to the given integrand. ...
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Author: Eric GisseEric Gisse Date: Apr 29, 2008 22:38
On Apr 29, 8:42Â pm, David W. Cantrell sigmaxi.net> wrote:> Dono comcast.net> wrote:>> On Apr 29, 6:21 pm, Eric Gisse gmail.com> wrote:>>> On Apr 29, 4:02 pm, Dono comcast.net> wrote:>
>>>> Sorry, wrong integrand, here is the correct one:
>
>>>> sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
>>>> a)*(cos[x])^2))
>
>
>> Excellent! Thank you , Eric!
>
> Your jubilation is, I think, premature. If you differentiate the supposed
> antiderivative shown there, you get just
>
> sin(x) sqrt(1 - a cos(x)^2)
>
> which is not equal to the given integrand. ...
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Author: David W. CantrellDavid W. Cantrell Date: Apr 30, 2008 05:08
Eric Gisse gmail.com> wrote:> On Apr 29, 8:42=A0pm, David W. Cantrell sigmaxi.net> wrote:>> Dono comcast.net> wrote:>>> On Apr 29, 6:21 pm, Eric Gisse gmail.com> wrote:>>>> On Apr 29, 4:02 pm, Dono comcast.net> wrote:>>
>>>>> Sorry, wrong integrand, here is the correct one:
>>
>>>>> sin[x]*sqrt(1-a*(cos[x])^2((1+sin[x])^2/(1+a*(sin[x])^2)+(1-
>>>>> a)*(cos[x])^2))
>>
>>
>>> Excellent! Thank you , Eric!
>>
>> Your jubilation is, I think, premature. If you differentiate the
>> supposed antiderivative shown there, you get just
>>
>> sin(x) sqrt(1 - a cos(x)^2)
>> ...
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