- #1
demersal
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- 0
Homework Statement
[tex]\int\frac{x}{(x^2+2)(x^2+2)}[/tex] dx from 0 to infinity
Homework Equations
Improper integrals
The Attempt at a Solution
Lim[tex]_{t->\infty}[/tex] [tex]\int[/tex][tex]\frac{t}{0}[/tex] ([tex]\frac{x}{(x^2+2)(x^2+2)}[/tex])
I tried integrating this by parts and also by partial fractions but neither seemed to lend itself nicely to the problem. (Choosing dv = (x^2+2)^(-2) made finding v ugly and based on the rules for choosing u shouldn't I choose x to be u?) And partial fractions didn't seem to work either. Any suggestions?
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