AP EAPCET 16th May 2023 Shift 1 Solved Paper

Section: Mathematics

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Question : 74 of 160

Marks: +1, -0

Given that ‌

d

dx

[

φ(x)

∫

0

f(t)‌dt]=φ′(f(x))f′(x). If

‌

∫

0

x3f(t)‌dt=x2sin‌2πx, then the value of f(8) is

‌
2π
3
‌
4π
3
‌
π
3
‌
π
12

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