WBJEE 2023 Math Solved Paper

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Question : 66 of 75
 
Marks: +1, -0
Let f be a non-negative function defined on [0,‌
Ï€
2
]
. If
x
∫
0
(f′(t)−sin‌2t)‌dt
=
0
∫
x
f(t)‌tan‌t‌dt
,f(0)=1
then
‌
Ï€
2
∫
0
f(x)‌dx
is
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