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Unformatted text preview: and we also have, Therefore, Proof of : From the definition of the definite integral we have, Proof of : From the definition of the definite integral we have, Remember that we can pull constants out of summations and out of limits. Proof of : First well prove the formula for +. From the definition of the definite integral we have, To prove the formula for  we can either redo the above work with a minus sign instead of a plus sign or we can use the fact that we now know this is true with a plus and using the properties proved above as follows. Proof of : , c is any number. If we define then from the definition of the definite integral we have,...
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 Fall '08
 sc
 Integrals, Formulas

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