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Definite Integration

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Let f:[0,‌
Ï€
2
]⟶[0,1] be the function defined by f(x)=sin‌2x and let g:[0,‌
Ï€
2
]⟶[0,∞] be the function defined by g(x)=√‌
Ï€x
2
−x2 .
Section: Mathematics
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Question : 3 of 46
 
Marks: +1, -0
The value of ‌
16
Ï€3
‌
‌
Ï€
2
∫
0
f(x)g(x)‌dx is _______.
[JEE Adv 2024 P2]
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