Help solving a definite integral from 0 to inf

[Math20]

Hi everyone,

I am trying to solve this definite integral from 0 to inf and I wonder do you have any ideas which method should I use to solve this problem.

Thanks in advance for your help

 

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[blamocur]

Seems to me that you need to look into numerical integration methods.

 

[Cubist]

I am trying to solve this definite integral from 0 to inf and I wonder do you have any ideas which method should I use to solve this problem.

The part of the expression that contains the integral is contained within the green brackets that I added...



...and the answer to this is not defined. You could rewrite the whole expression as a limit such that the upper bound of the definite integral tends towards infinity. Is this something that you could attempt, and does this make sense in the context of your current lessons (is this is a genuine question or did you make it up yourself ) ?