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Iff (0) = g(0) = 0 and f" and g" are continuous, show that [“ƒ (x)g"(x) dx = f(a)g'(a) – f'(a)g(a) + f*"ƒ"(x)g(x) dx

Iff (0) = g(0) = 0 and f" and g" are continuous, show that [“ƒ (x)g"(x) dx = f(a)g'(a) – f'(a)g(a) + f*"ƒ"(x)g(x) dx

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 13E
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Iff (0) = g(0) = 0 and f" and g" are continuous, show that [*ªƒ (x)g'"'(x) dx = f(a)g'(a) — f'(a)g(a) + f®ªƒ"(x)g(x) dx
Transcribed Image Text:Iff (0) = g(0) = 0 and f" and g" are continuous, show that [*ªƒ (x)g'"'(x) dx = f(a)g'(a) — f'(a)g(a) + f®ªƒ"(x)g(x) dx
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