- #1

- 281

- 0

[tex]\int f(v) e^{iavx} dv[/tex] ?

Can I just treat i as any other constant?

- Thread starter Logarythmic
- Start date

- #1

- 281

- 0

[tex]\int f(v) e^{iavx} dv[/tex] ?

Can I just treat i as any other constant?

- #2

- 555

- 0

[tex]e^{i \phi} = \cos (\phi) + i \sin (\phi)[/tex]

At a guess I would say yes, [tex]i[/tex] is a constant... Just a logical guess though...

- #3

- 281

- 0

[tex]= \int f(v) \cos{avx} dv + i \int f(v) \sin{avx} dv[/tex]

Maybe?

- #4

- 586

- 1

Or you can use Euler's formula and write it as the sum of cos and sin, yes.

- #5

- 555

- 0

Logarythmic, looks fine by me as long as you put [tex]avx[/tex] in brackets ;)

- #6

- 281

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[tex]w(x) = \int_{-u_0}^{u_0} i2 \pi v e^{i2 \pi vx} dv = \frac{1}{\pi x^2} \left[ 2 \pi u_0 x \cos{(2 \pi u_0 x)} - \sin{(2 \pi u_0 x)} \right][/tex]

- #7

- 555

- 0

I got the same, so I guess it's correct.

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