Suppose f is continuous, f (0) = 0, f (1) = 1, f(x) > 0, and 1

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Suppose f is continuous, f (0) = 0, f (1) = 1, f’(x) > 0, and ∫1 f(x) dx = 1/3. Find the value of the integral ∫1 f–1 (y) dy.
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