Question: Find all the continuous positive functions (x), for 0 x 1, such that where a is a given real number. f f(x) dx

Find all the continuous positive functions ƒ(x), for 0 ≤ x ≤ 1, such that

f f(x) dx = 1 Jo 6. f(x)x dx = a f(x)x

where a is a given real number.

f f(x) dx = 1 Jo 6. f(x)x dx = a f(x)x dx = a

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