AP EAPCET 18th May 2023 Shift 2 Solved Paper

Section: Mathematics
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Question : 77 of 160
 
Marks: +1, -0
Given that ‌
d
dx
‌
φ(x)
∫
0
f(t)‌dt
=f(φ(x))φ′(x)
. For all x∈(0,‌
Ï€
2
)
, if
cos‌x
∫
1
t2f(t)‌dt
=cos‌2‌x
, then f(‌
1
√2
)
=
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