Question: If f' is continuous on [0, ) and show that |lim, f(x) = 0, f'(x) dx = -f(0)

If f' is continuous on [0, ∞) and|lim, f(x) = 0,  show thatf'(x) dx = -f(0)

|lim, f(x) = 0, f'(x) dx = -f(0)

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