QJEEAdv07Ma793a: JEE Advanced 2007 Mathematics - Class 12 JEEAdv07Ma793a Solution: Match the integrals in Column with the values in Column and…

Match the integrals in Column $I$ with the values in Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$ .

Column $I$
(A) $\int\limits_{ - 1}^1 {{{dx} \over {1 + {x^2}}}}$
(B) $\int\limits_0^1 {{{dx} \over {\sqrt {1 - {x^2}} }}}$
(C) $\int\limits_2^3 {{{dx} \over {1 - {x^2}}}}$
(D) $\int\limits_1^2 {{{dx} \over {x\sqrt {{x^2} - 1} }}}$

Column $II$
(p) ${1 \over 2}\log \left( {{2 \over 3}} \right)$
(q) $2\log \left( {{2 \over 3}} \right)$
(r) ${{\pi \over 3}}$
(s) ${{\pi \over 2}}$