ImmonoKedo8bj

2023-02-23

How to integrate $\left[\frac{{x}^{2}+1}{{x}^{2}-1}\right]dx$?

Libby Fernandez

Given fraction is $\frac{1}{3}$
$⇒\frac{1}{3}=\frac{1}{10}×\frac{10}{3}\phantom{\rule{0ex}{0ex}}⇒\frac{1}{3}=\frac{1}{10}×\left(3+\frac{1}{3}\right)\phantom{\rule{0ex}{0ex}}⇒\frac{1}{3}=\frac{3}{10}+\frac{1}{30}\phantom{\rule{0ex}{0ex}}⇒\frac{1}{3}-\frac{3}{10}=\frac{1}{30}$
Therefore, we can write as 0.333

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