is continuous and g and h are differentiable functions, show that ch(x) d (e f(t)dt f(h(x))h'(x) – f(a(x))a (x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If f is continuous and g and h are differentiable functions, show that
ch(x)
f(t)dt = f(h(x))h'(x) – f(g(x))g'(x).
g(x)
d
dx
Transcribed Image Text:If f is continuous and g and h are differentiable functions, show that ch(x) f(t)dt = f(h(x))h'(x) – f(g(x))g'(x). g(x) d dx
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