lect138_2_w11

lect138_2_w11 - Friday January 7 Lecture 2: Integration by...

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Friday January 7 Lecture 2: Integration by parts (Refers to 7.1 in your text ) Expectations : 1. Recognize those integrals which are best integrated by the technique " Integration by parts ". 2. Apply the technique of integration by parts to integrate appropriate integrals. 3. Integrate definite integrals by the “ integration by parts ” method. 2.1 More anti-derivatives to know At this point it is a good idea to review the derivatives of less common elementary functions such as: log functions, trig functions, inverse trig functions, exponential functions. In particular practice finding derivatives of functions involving: Note Observe that the two functions f ( x ) = arcsin ( x ) and g ( x ) = arccos ( x ) have the same derivative 1 / (1 x 2 ). (This not surprising if you look at the graph of arccos ( x ) and compare it to the graph of arcsin ( x ) ) Graph of arcsin x
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Graph of arccos x 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 11/10/2011 for the course MATH 138 taught by Professor Anoymous during the Spring '07 term at Waterloo.

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lect138_2_w11 - Friday January 7 Lecture 2: Integration by...

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