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Let f:(0,∞)→(0,∞) be a differentiable function satisfying, xx∫0(1−t)f(t)dt=x∫0tf(t)dt ∀x∈R+ and f(1)=1. Then f(x) can be |
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Answer» Let f:(0,∞)→(0,∞) be a differentiable function satisfying, xx∫0(1−t)f(t)dt=x∫0tf(t)dt ∀x∈R+ and f(1)=1. Then f(x) can be |
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