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**Let f:[a,b]->R be bounded.**

F is said to rienmann integrable if:

[tex] L=\int_{a}^{b} f(x)=U [/tex]

where :

L=Sup(L(f,P))

and

U=Inf(U,(f,P))

F is said to rienmann integrable if:

[tex] L=\int_{a}^{b} f(x)=U [/tex]

where :

L=Sup(L(f,P))

and

U=Inf(U,(f,P))

but everywhere else(internet) there's a definition with epsilon.

I have the epsilon stuff later under "riemann criterion" so was wondering if the above definition is okay or I copied something wrong