Register to reply

Exponential Integration

by coyote_001
Tags: exponential, integration
Share this thread:
Mar28-11, 02:03 PM
P: 7
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.!!!
Phys.Org News Partner Science news on
New model helps explain how provisions promote or reduce wildlife disease
Stress can make hard-working mongooses less likely to help in the future
Grammatical habits in written English reveal linguistic features of non-native speakers' languages

Register to reply

Related Discussions
Integration of an exponential function Calculus & Beyond Homework 9
Exponential integration Calculus & Beyond Homework 4
Integration of exponential function Calculus & Beyond Homework 1
INtegration and the exponential function Calculus & Beyond Homework 7
Integration of exponential functions Calculus & Beyond Homework 15