Mostly we just worked some examples in class. Having to write lim as b -> ∞ over and over gets a little old but it's necessary. Notes from class are below.
Friday, March 23, 2012
Mar 23 - Improper Integrals
We started today with a look back at the Fundamental Theorem of Calculus. I noted that the FTOC applies to continuous functions on a closed interval [a, b]. Certain integrals will be called "improper" b/c we'll be "violating" one of those conditions. Either we will look at an integral that is discontinuous (typically an asymptote) or an interval that is not bounded - [a, ∞) or (-∞, b].
Mostly we just worked some examples in class. Having to write lim as b -> ∞ over and over gets a little old but it's necessary. Notes from class are below.
Mostly we just worked some examples in class. Having to write lim as b -> ∞ over and over gets a little old but it's necessary. Notes from class are below.
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