(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

From an exam in calc 2 we are reviewing simple integrals. This one was annoying because it actually contained algebra.. regardless.

[itex]\int(\frac{1 - y^{2}}{y^{2}})^{2} dy[/itex]

2. Relevant equations

3. The attempt at a solution

First I broke it into two fractions, and turned the second into 1 as it is y squared over y squared.

[itex]\int(\frac{1}{y^{2}} - 1)^{2} dy[/itex]

Then squared the polynomial of sorts.. to get

[itex]\int y^{-4} - y^{-2} - y^{-2} + 1 dy[/itex]

Leading me to a final answer of

[itex]- \frac{y^{-3}}{3} + 2y^{-1} + y + C[/itex]

Look okay? A bit rusty in algebra..

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# Easy integral from exam

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