Complex Number Integral: Tips and Tricks for Solving

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SUMMARY

The discussion focuses on evaluating a complex integral of the form \(\int\int\int r e^{iqr \cos(\theta)} \sin(\theta) dr d\theta d\phi\). The user initially struggled with the complexity of the integral but successfully resolved it using a simple substitution method. Additionally, the user inquired about using braket notation in LaTeX, which they later figured out independently.

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[SOLVED] integral with complex numbers

Hi,

I feel really silly for asking this question... but can anyone give me any advice on how to evaluate the following intergral:

[tex]\int\int\int[/tex]r.e[tex]^{iqrcos(\theta)}[/tex]sin([tex]\theta)[/tex]dr.d([tex]\theta)}[/tex].d([tex]\phi)}[/tex]

basically an integral spanning whole of space (I've included the the jacobian r[tex]^{2}[/tex] and sin([tex]\theta)[/tex])

I've tried splitting it into cos(x)+isin(x) but it gets very, very messy:(

Another question:

Is there any way to do braket notation through latex?
 
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nevermind... figured out how to solve it - simple substitution!
 

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