Question

Find all the continuous positive functions f(x), for 0 ≤ x ≤ 1, such that where α is a given real number

| f{x) dx = 1
| f(x)x dx = a
0.
J (x)x² dx = a²
0.

Image Transcription

| f{x) dx = 1 | f(x)x dx = a 0. J (x)x² dx = a² 0.

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Tagged in
MathCalculus

Integration