Definite Integrals Part 3

Section: Mathematics

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Question : 93 of 115

Marks: +1, -0

Let f be a continuous function satisfying

t2

∫

0

(f(x)+x2)‌dx=‌

4

3

t3,∀t>0. Then f(‌

π2

4

) is is equal to

[10-Apr-2023 shift 2]

−π2(1+‌
π2
16
)
π(1−‌
π3
16
)
−π(1+‌
π3
16
)
π2(1−‌
π3
16
)

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