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Definite Integration question

2014 · Shift 0 · Q28

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PYQ Library
JEE Main
Mathematics
Definite Integration
2014 · Shift 0 · Q28

Definite Integration question

2014 · Shift 0 · Q28

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int\limits_0^\pi {\sqrt {1 + 4{{\sin }^2}{x \over 2} - 4\sin {x \over 2}{\mkern 1mu} } } dx

equals:

A
$4\sqrt 3 - 4$
B
$4\sqrt 3 - 4 - {\pi \over 3}$
C
$\pi - 4$
D
${{2\pi } \over 3} - 4 - 4\sqrt 3$

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