Improper Integration problem.

C

Calculated Risk

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Question: Show the improper integral converges and evaluate ∫(x²-2)/(x^4+3)
(*) the integration goes from 1 to plus infinity

I succeeded in showing this integral converges by using an equivalent function 1/x². I still have trouble evaluating the integration itself though.
 
Yeah I bet you are. It's a mess. Are you sure this is what you are meant to do?

Is there some other method by which you could evaluate the integral?
 
Calculated Risk said:
Question: Show the improper integral converges and evaluate ∫(x²-2)/(x^4+3)
(*) the integration goes from 1 to plus infinity

I succeeded in showing this integral converges by using an equivalent function 1/x². I still have trouble evaluating the integration itself though.
Click to expand...
I have not done it yet - but I'll start with substitution:

x^2 = 2* u ............. and continue
 
Calculated Risk said:
Question: Show the improper integral converges and evaluate ∫(x²-2)/(x^4+3)
(*) the integration goes from 1 to plus infinity

I succeeded in showing this integral converges by using an equivalent function 1/x². I still have trouble evaluating the integration itself though.
Click to expand...
If you want to see how truly awful this integral is SEE HERE.
 
Romsek said:
Yeah I bet you are. It's a mess. Are you sure this is what you are meant to do?

Is there some other method by which you could evaluate the integral?
Click to expand...
"Yes" to your first question and "No, or at least I don't know" to your other question.
 
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