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20th December 2005, 21:37 #1
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cos(sinx)
can anyone give a result for this integration
∫cos(sin(θ)) dθ
unlimited or limited by any values may reduce any complexity
Roshdy

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21st December 2005, 05:50 #2
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integrate cos(cos x)
I highly doubt that there is a finite expression of that integral. It can be expressed by a series if certain integration limits are applied.
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21st December 2005, 12:41 #3
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integration sin(sin(x))
Hi,
If this integral has limits of 0 to pi it will be equal to pi*J(0,x) where J(0,x) is Bessel function of order zero.
Regards,
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28th December 2005, 13:07 #4
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integrate cos(cos(x))
cos(sinx)= cos(cos(90x))=cos^2(90x)
i.e ∫cos²(90x)dx which can be ∫ed easily right.

28th December 2005, 16:25 #5
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integral sin catalan
Hi,
This is not correct because cos(cos(90x) is not equal to cos^(90x) whis is equal to cos(90x)*cos(90x).
It can only be integrated numerically unless it has limits of 0 to pi where it's Bessel function..
Regards,

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28th December 2005, 20:46 #6
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cos integrates to sin
right
cos(cos(x)) doesn't equal to cos^2(x)
Roshdy

2nd October 2009, 18:58 #7
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Re: Integrate cos(sin(x))
What will be the integral
MLast edited by BlackMamba; 27th August 2010 at 13:46.

2nd October 2009, 21:55 #8
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Re: Integrate cos(sin(x))
Originally Posted by magnetra
>Last edited by BlackMamba; 27th August 2010 at 13:45.
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