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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

If maximum value of ∫_0^1 (f(x))^3 dx under the condition -1 ≤ f(x)...

If maximum value of

\int_0^1 (f(x))^3 dx

under the condition

-1 \le f(x) \le 1 ; \int_0^1 f(x) dx = 0

is

\frac{p}{q}

(where

p

and

q

are relatively prime positive integers.). Find

p + q

.

Correct answer

5

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