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The two functions f() and g() are defined as below respectively. F ( x ) = o x f ( t ) d t ,
The two functions f() and g() are defined as below respectively.
F(x)=oxf(t)dt, G(x)=oxg(t)dt
Also, let F(1) = G(1) = 1. Prove the following expression. (Use the integration by parts)
01F(x)g(x)dx=01f(x)[1G(x)]dx
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