Verify that

$\displaystyle {\frac{{{1}}}{{{x}^{{2}}-{1}}}}={\frac{{{1}}}{{{2}}}}{\left({\frac{{{1}}}{{{x}-{1}}}}-{\frac{{{1}}}{{{x}+{1}}}}\right)}$

and use this equation to evaluate
$\displaystyle {\int_{{{2}}}^{{{3}}}}{\frac{{{5}}}{{{x}^{{2}}-{1}}}},{\left.{d}{x}\right.}$


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