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Unformatted text preview: fnInt abs f x x a b When solving a definite integral involving absolute value, rewrite the integral in 2 parts, splitting it up at the critical pt. A slightly different situation is when the variable x is used as the upper limit of integration. To avoid the confusion of using x in 2 different ways, we temporarily switch to using t as the varable of integration. F(x) = a x f (t) dt constant F is a function of x. f is a function of t. When upper limit of integration is a variable other than plain x , combine the Fund. Thm., Part 1 with the Chain Rule when finding the derivative of an integral. It really amounts to just plugging in the upper limit and multiplying by its derivative. Joke Time Why was the elephant standing on the marshmallow? He didn’t want to fall in the hot chocolate! How do you stop an elephant from charging? Take away his credit card....
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 Fall '08
 JARVIS
 Calculus, Derivative, Fundamental Theorem Of Calculus, upper limit, Fundamental Thm

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