lec 2 - Wednesday, January 4 - Lecture 2 : Integration by...

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Wednesday, January 4 Lecture 2 : Integration by parts (Refers to 6.2 in your text ) Students who have practiced the techniques presented in this lecture should be able to : Recognize those integrals which are best integrated by the technique " Integration by parts ", apply the technique of integration by parts to integrate appropriate integrals, compute definite integrals by the “ integration by parts ” method. 2.1 Anti-derivatives of less common functions At this point it is a good idea to review the derivatives of less common elementary functions. In particular recalling the following derivatives will help to find the integral of some functions in the future. For example if we know that the derivative of a x is a x ln( a ) we don’t have to prove that the indefinite integral of a x ln a is a x + C . Question - Let's see if we understand this correctly. We see that So arcsin x + C = arccos x + C. Does this mean that arcsin x = arccos x ? Explain!
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This note was uploaded on 03/19/2012 for the course MATH 118 taught by Professor Zhou during the Winter '08 term at Waterloo.

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lec 2 - Wednesday, January 4 - Lecture 2 : Integration by...

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