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Application of Integration question

2013 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Application of Integration
2013 · Shift 1 · Q34

Application of Integration question

2013 · Shift 1 · Q34

JEE AdvancedMathematicsApplication of IntegrationMCQ+4 / −1

The area enclosed by the curves

y = \sin x + {\mathop{\rm cosx} olimits}

and

y = \left| {\cos x - \sin x} \right|

over the interval

\left[ {0,{\pi \over 2}} \right]

is

A
$4\left( {\sqrt 2 - 1} \right)$
B
$2\sqrt 2 \left( {\sqrt 2 - 1} \right)$
C
$2\left( {\sqrt 2 + 1} \right)$
D
$2\sqrt 2 \left( {\sqrt 2 + 1} \right)$

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