Definite Integration question

2007 · Shift 1 · Q44

Definite Integration question

2007 · Shift 1 · Q44

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

	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)	${\pi \over 2}$

A
A - s, B - s, C - r, D - p
B
A - s, B - q, C - p, D - r
C
A - s, B - s, C - p, D - r
D
A - s, B - q, C - s, D - r

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Definite Integration question

2007 · Shift 1 · Q44

Definite Integration question

2007 · Shift 1 · Q44

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

	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)	${\pi \over 2}$

A
A - s, B - s, C - r, D - p
B
A - s, B - q, C - p, D - r
C
A - s, B - s, C - p, D - r
D
A - s, B - q, C - s, D - r