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Definite Integration question

2019 · 11 Jan · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 11 Jan · Shift 1 · Q34

Definite Integration question

2019 · 11 Jan · Shift 1 · Q34

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{ - 2}^2 {{{{{\sin }^2}x} \over { \left[ {{x \over \pi }} \right] + {1 \over 2}}}} \,dx

(where [x] denotes the greatest integer less than or equal to x) is

A
0
B
4
C
4 $-$ sin 4
D
sin 4

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