"Suppose f is continuous on [a,b] and for all k = 0,1,2,3,4,5,... [tex]\int_a^b x^kf(x) = 0[/tex]. Prove that f = 0."(adsbygoogle = window.adsbygoogle || []).push({});

What I know so far:

f(c)=0 for some c in [a,b]

[tex]\int_a^b f=0[/tex]

[tex]\int_a^b x^k \int_a^b f=0[/tex]

Any hint on how to proceed would be appreciated.

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# Homework Help: Prove that f = 0 integral

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