Wave packet: math question. QT(Bohm's book)

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knockout_artist
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Hello,

In David Bohm,s Quantum Theory, in chapter 3 section 2(motion of pulse of light)
There is this equation, I could not understand how, integrating LHS produced a sin.

Please help.

note:
LHS: k0 +Δk is super script. I did not know how to put it closer to integration sign.

Ex(x)= ∫k0-Δk k0+Δk dkeik(x-x0) = 2 ((sin Δk (x-x0)) / (x-x0)) eik0(x-x0)
 

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knockout_artist said:
There is this equation, I could not understand how, integrating LHS produced a sin.

If you could show us how far you did get, we will be better able to help you.
 
Well.. only thing close enough I could think of was (eik - eik)/2
would make is sin on right hand side.
Then also eik0(x-x0) would also get carried on on the RHS.
 
knockout_artist said:
Well.. only thing close enough I could think of was (eik - eik)/2
would make is sin on right hand side.

Look at the bounds of the definite integral.
 
I think I have to look at my calculus book.
I will post if I still have problem.

Thanks for looking at it.