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Definite Integration

IIT-JEE 2007 Paper 1 Offline

MCQ+3 / -12007

Match the integrals in Column I with the values in Column II.



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Column I Column II
(A) \(\int\limits_{ - 1}^1 {{{dx} \over {1 + {x^2}}}}\) (P) \({1 \over 2}\log \left( {{2 \over 3}} \right)\)
(B) \(\int\limits_0^1 {{{dx} \over {\sqrt {1 + {x^2}} }}}\) (Q) \(2\log \left( {{2 \over 3}} \right)\)
(C) \(\int\limits_2^3 {{{dx} \over {1 + {x^2}}}}\) (R) \({\pi \over 3}\)
(D) \(\int\limits_1^2 {{{dx} \over {x\sqrt {{x^2} - 1} }}}\) (S) \({\pi \over 2}\)

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