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Groups > comp.soft-sys.math.maple > #1370
| From | William Unruh <unruh@invalid.ca> |
|---|---|
| Newsgroups | comp.soft-sys.math.maple |
| Subject | Re: A definite integral |
| Date | 2023-02-08 06:53 +0000 |
| Organization | A noiseless patient Spider |
| Message-ID | <trvgsm$2lkp$1@dont-email.me> (permalink) |
| References | <ac6dded8-1440-4858-9ef8-3fc8bb634f15n@googlegroups.com> |
On 2023-02-07, Robert Gragg <robertfgragg@gmail.com> wrote:
> Can Maple provide a result for the integral
> \int_{-\pi/2}^{\pi/2} e^{-i a cos\phi} \cos^2\phi d\phi
> with a>0?
> Or maybe an asymptotic result for a>>1?
Have you tried?
This is of course just
2 int_1/sqrt(2)^1 e^{-iax} x^2/sqrt{1-x^2} dx
=2 -int _1/sqrt(2)^1 (e^-iax)(x-ia}sqrt(1-x^2}dx -e^{-ia}
or something like that. (x=cos(phi))
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A definite integral Robert Gragg <robertfgragg@gmail.com> - 2023-02-07 07:32 -0800 Re: A definite integral William Unruh <unruh@invalid.ca> - 2023-02-08 06:53 +0000 Re: A definite integral Wasell <wasell@example.com> - 2023-02-09 17:32 +0100
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