[SOLVED] integrability of f and f^2

**akolman** · October 11th 2008, 12:33 AM

I need help with this problem.

Let[tex] f(x)[\math] be a bounded function on $[a,b]$ . Let $B>0$ and $|f(x)| \leq B$ for $\forall x \in [a,b]$

Show that $U(f^2,P)-L(f^2,P) \leq 2B[U(f,P)-L(f,P)]$ for all partitions P of [a,b]

**Opalg** · October 11th 2008, 03:28 AM

Originally Posted by akolman

Let $f(x)$ be a bounded function on $[a,b]$ . Let $B>0$ and $|f(x)| \leq B$ for $\forall x \in [a,b]$

Show that $U(f^2,P)-L(f^2,P) \leq 2B[U(f,P)-L(f,P)]$ for all partitions P of [a,b]

**akolman** · October 11th 2008, 06:59 AM

Ohh man! I can believe it! tank you very much!!

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