Integrate cos(sin(x))

1. 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 •

2. 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.

1 members found this post helpful. 3. 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,

1 members found this post helpful. •

4. integrate cos(cos(x))

cos(sinx)= cos(cos(90-x))=cos^2(90-x)

i.e ∫cos²(90-x)dx which can be ∫ed easily right. 5. integral sin catalan

Hi,
This is not correct because cos(cos(90-x) is not equal to cos^(90-x) whis is equal to cos(90-x)*cos(90-x).
It can only be integrated numerically unless it has limits of 0 to pi where it's Bessel function..
Regards, 6. cos integrates to sin

right
cos(cos(x)) doesn't equal to cos^2(x)
Roshdy 7. Re: Integrate cos(sin(x))

What will be the integral

M •

8. Re: Integrate cos(sin(x)) Originally Posted by magnetra
What will be the integral
See previous messages.

--> --[[ ]]--