Let f be a non-negative function defined on the interval [0, 1]. If ∫(1 - (f'(t))^2dt for t ∈ [0, x] = ∫f(t)dt for t ∈ [0, x], - Sarthaks eConnect

Let f be a non-negative function defined on the interval [0, 1]. If ∫(1 - (f'(t))²dt for t ∈ [0, x] = ∫f(t)dt for t ∈ [0, x], 0 ≤ x ≤ 1, and f(0) = 0, then

Let f be a non-negative function defined on the interval [0, 1]. If ∫(1 - (f'(t))^2dt for t ∈ [0, x] = ∫f(t)dt for t ∈ [0, x],

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