If \[\int{\frac{2{{x}^{2}}+3.dx}{({{x}^{2}}-1)({{x}^{2}}-4)}}=\log {{\left( \frac{x-2}{x+2} \right)}^{a}}{{\left( \frac{x+1}{x-1} \right)}^{b}}+c\] then the values of a and b respectively are [AMU 2005]

If \[\int{\frac{2{{x}^{2}}+3.dx}{({{x}^{2}}-1)({{x}^{2}}-4)}}=\log {{\

1.	If \[\int{\frac{2{{x}^{2}}+3.dx}{({{x}^{2}}-1)({{x}^{2}}-4)}}=\log {{\left( \frac{x-2}{x+2} \right)}^{a}}{{\left( \frac{x+1}{x-1} \right)}^{b}}+c\] then the values of a and b respectively are [AMU 2005]
A.	\[\frac{11}{12},\frac{5}{6}\]
B.	\[\frac{11}{12},\frac{-5}{6}\]
C.	\[-\frac{11}{12},\frac{5}{6}\]
D.	None of these
Answer» B. \[\frac{11}{12},\frac{-5}{6}\]

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If \[\int{\frac{2{{x}^{2}}+3.dx}{({{x}^{2}}-1)({{x}^{2}}-4)}}=\log {{\left( \frac{x-2}{x+2} \right)}^{a}}{{\left( \frac{x+1}{x-1} \right)}^{b}}+c\] then the values of a and b respectively are [AMU 2005]

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