Recent content by Dreadfort

Thanks mate I'll be working it out now

I am doing BSc Physics and this is in my first year Mathematics module. The topic for this assignment was Improper Integrals

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Solid State Physics

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So its a Calculus II problem then, don't know why its given in our assignment. I'll brush up on contour integration to solve this one

Ok I am working it out

Solution's given \pi /e

I got back I again. So I am going wrong somewhere

I substituted u and w like you said but in the end I got back the same integral again. Dunno where am going wrong. Am I supposed to substitute u in terms of w?

Yes mate

Yes I think that'll be better for now, till the time I learn to use Complex variable residues and all that

So how to approach it ?

Not really, I haven't. Could you tell me how to use it, I'm going to try it then

So what I did, I substituted x = \tan (\theta) and the limits to -\frac {\pi} {2} to +\frac {\pi} {2}. {\sec (\theta)}^2 cancels out leaving behind \int {\cos{\tan(\theta)}} \, dx. I'm stuck after that