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24-06-2022
Mathematics

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If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=

If the function f has a continuous derivative on 0 c then integral from 0 to c fxdx class=

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Аноним Аноним

28-06-2022

The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have

[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]

(E)

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