JEE Advance - Mathematics (1993 - No. 27)
Evaluate $$\int_2^3 {{{2{x^5} + {x^4} - 2{x^3} + 2{x^2} + 1} \over {\left( {{x^2} + 1} \right)\left( {{x^4} - 1} \right)}}} dx.$$
$$\frac{1}{6}\log 6 - \frac{1}{10}$$
$$\frac{1}{3}\log 3 - \frac{1}{5}$$
$$\frac{1}{2}\log 2 - \frac{1}{4}$$
$$\frac{1}{4}\log 4 - \frac{1}{8}$$
$$\frac{1}{5}\log 5 - \frac{1}{9}$$