Help for this infinite integral question ?

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The discussion focuses on evaluating the improper integral \(\int_{1}^{\infty}\left({\frac{ax^2}{x^3+5}+\frac{2}{x^3}\right)dx\) to determine the possible values of the parameter \(a\). Participants clarify the correct interpretation of the integral and emphasize the importance of proper notation in mathematical expressions. The convergence of the integral is a key concern, leading to the conclusion that specific conditions on \(a\) must be established to ensure the integral converges.

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[tex]\int (((ax^2)/(x^3)+5) + 2 / x^3) dx[/tex] (one to infinite integral) find the all possible values of a?
 
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I can't imagine your parentheses are correct...
 
Is this supposed to be:


[tex]\int_{1}^{\infty}\left({\frac{ax^2}{x^3+5}+\frac{2}{x^3}\right)dx[/tex]

>??
 

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