If f,g,h becontinuous functions on [0, a]such that f(a- x)=f(x),g(a-x)=-g(x) and sh(x)- 4h(a- x)= 5, then provw that | f(x)g(x)h(x)dx=0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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If f,g,h becontinuous functions on [0, a]such that f(a- x)=f(x),g(a-x)=-g(x)
and sh(x)- 4h(a- x)= 5, then provw that | f(x)g(x)h(x)dx=0.
Transcribed Image Text:If f,g,h becontinuous functions on [0, a]such that f(a- x)=f(x),g(a-x)=-g(x) and sh(x)- 4h(a- x)= 5, then provw that | f(x)g(x)h(x)dx=0.
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