calc notes lecture 23 - Lecture Section 24 5.1 Assignment...

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LectureSectionObjectivesAssignment245.1Antiderivatives and Indefinite Integrals5.1: 1-19 odd, 23, 25, 33-41 odd,49-61 odd, 71, 75, 77Understanding Goals:1.Understand the definition of antiderivative.2.Understand how to use integral sign for antiderivatives.3.Understand how to use basic integration rules to find antiderivatives of functions.4.Understand how to fine particular solutions of indefinite integrals using initialconditions.5.Understand how to use antiderivatives to solve real-life problems.Question to think about:We knowfxx( )=2has derivativefxx'( )=2. Isx2the only function whose derivativeis 2x?Integration is the “inverse” of differentiation'( )( )Fx dxF xC=+Differentiation is the “inverse” of integration( )( )df x dxf xdx=°1
Example 1:Finda)5dxxb)2x dxxc)x dx
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