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Exponential Integration 
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#1
Mar2811, 02:03 PM

P: 7

Hello,
I have an integral and I can't figure out the solution, The integral is, [tex]\int_{0}^{L} dx\ \frac{e^{(a y + \frac{b}{y})}}{y}[/tex] where [tex]L>0[/tex], [tex]a,b>0[/tex]. I know that the same integral from zero to infinity has a solution, [tex]\int_{0}^{\infty} dx\ \frac{e^{(a y + \frac{b}{y})}}{y} = 2 K_{0}\left( 2 \sqrt{a b}\right)[/tex] where [tex]K_{n}[/tex] is the BesselK function. If anyone knows the solution, please let me know.!!! Thanks 


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