If \[\int_{{}}^{{}}{\frac{2x+3}{(x-1)({{x}^{2}}+1)}\ dx={{\log }_{e}}\left\{ {{(x-1)}^{\frac{5}{2}}}{{({{x}^{2}}+1)}^{a}} \right\}}-\frac{1}{2}{{\tan }^{-1}}x+A\], where A is any arbitrary constant, then the value of ?a? is[MP PET 1998]

If \[\int_{{}}^{{}}{\frac{2x+3}{(x-1)({{x}^{2}}+1)}\ dx={{\log }_{e}}\

1.	If \[\int_{{}}^{{}}{\frac{2x+3}{(x-1)({{x}^{2}}+1)}\ dx={{\log }_{e}}\left\{ {{(x-1)}^{\frac{5}{2}}}{{({{x}^{2}}+1)}^{a}} \right\}}-\frac{1}{2}{{\tan }^{-1}}x+A\], where A is any arbitrary constant, then the value of ?a? is[MP PET 1998]
A.	44291
B.	-1.66666666666667
C.	-0.833333333333333
D.	-1.25
Answer» E.