Assume g, f, f' and g' are integrable on [a, b]. Prove fo f(x)g'(x) dx = ƒ(b)g(b) — ƒ(a)g(a) – Så f'(x)g(x) dx. A - -

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.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 4E: Assume x and y are functions of t. Evaluate dydtfor each of the following. 4x36xy2+3y2=228;...
Question
Assume g, f, f' and g' are integrable on [a, b]. Prove fo f(x)g'(x) dx =
ƒ(b)g(b) — ƒ(a)g(a) – Så f'(x)g(x) dx.
A
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Transcribed Image Text:Assume g, f, f' and g' are integrable on [a, b]. Prove fo f(x)g'(x) dx = ƒ(b)g(b) — ƒ(a)g(a) – Så f'(x)g(x) dx. A - -
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