If is continuously differentiable on 0, 1 and (1) (0) 1 6, prove that 0 2 Fox (f'(x)) dx 2 f(x) dx 1 4...

We can start the proof by using integration by parts on the lefthand side of the inequality 01 fx2 d ...

If is continuously differentiable on [0, 1] and (1) = (0) = -1/6, prove that ]

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If ƒ is continuously differentiable on [0, 1] and ƒ(1) = ƒ(0) = -1/6, prove that

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 29, 2023 05:29 AM

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If is continuously differentiable on [0, 1] and (1) = (0) = -1/6, prove that ]

Question:

] 0 2 / Fox (f'(x))² dx ≥ 2 f(x) dx + 1/ 4

Step by Step Answer:

We can start the proof by using integration by parts on the lefthand side of the inequality 01 fx2 d...View the full answer

Thomas Calculus Early Transcendentals

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