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Application of Integration question

2008 · Shift 2 · Q32

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PYQ Library
JEE Advanced
Mathematics
Application of Integration
2008 · Shift 2 · Q32

Application of Integration question

2008 · Shift 2 · Q32

JEE AdvancedMathematicsApplication of IntegrationMCQ+3 / −1

The area of the region between the curves

y = \sqrt {{{1 + \sin x} \over {\cos x}}}

and

y = \sqrt {{{1 - \sin x} \over {\cos x}}}

bounded by the lines

x=0

and

x = {\pi \over 4}

is

A
$\int\limits_0^{\sqrt 2 - 1} {{t \over {\left( {1 + {t^2}} \right)\sqrt {1 - {t^2}} }}dt}$
B
$\int\limits_0^{\sqrt 2 - 1} {{4t \over {\left( {1 + {t^2}} \right)\sqrt {1 - {t^2}} }}dt}$
C
$\int\limits_0^{\sqrt 2 + 1} {{4t \over {\left( {1 + {t^2}} \right)\sqrt {1 - {t^2}} }}dt}$
D
$\int\limits_0^{\sqrt 2 + 1} {{t \over {\left( {1 + {t^2}} \right)\sqrt {1 - {t^2}} }}dt}$

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