Let g be continuous on [a, b] where g(x) > 0 for all x € [a, b] and define F(t) = f g(x)dx for te [a, b]. Show that if f is continuous, then [far = [ fdF f f(x)g(x)dx.
Let g be continuous on [a, b] where g(x) > 0 for all x € [a, b] and define F(t) = f g(x)dx for te [a, b]. Show that if f is continuous, then [far = [ fdF f f(x)g(x)dx.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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