question_answer

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

A)  \[1\text{/}2,\,\,3\text{/}4\]

B)  \[-1,\text{ }3\text{/}2\]

C)  \[1,\text{ }3\text{/}2\]              

D)  \[-1\text{/}2,\text{ }3\text{/}4\]

E)  None of these