If \( \int \frac{2 x+3}{(x-1)\left(x^{2}+1\right)} d x=-a\left(\log...

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If \( \int \frac{2 x+3}{(x-1)\left(x^{2}+1\right)} d x=-a\left(\log \left\{\frac{(x-1)^{2}}{x^{2}+1}\right\}-\right. \)
\( \mathrm{P} \)
W
\( \frac{1}{2} \tan ^{-1} x+C, x1 \) where \( C \) is any arbitrary
constant, then the value of ' \( a \) ' is
(1) \( \frac{5}{4} \)
(2) \( -\frac{5}{3} \)
(3) \( -\frac{5}{6} \)
(4) \( \quad-\frac{5}{4} \)
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