8.2.25-eg - u = w, dv = e w dw yields Z w e w dw = w e w-Z...

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Example Evaluate Z 5 z ln( z 2 ) dz. First let w = ln( z 2 ), then dw = 2 z z 2 dz . In order rewrite the integrand in terms of w , use the assignments above to determine that e w = z 2 and 1 2 e w dw = z dz. Substitute to obtain Z 5 z ln( z 2 ) dz = 5 2 Z w e w dw. Integration by parts with
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Unformatted text preview: u = w, dv = e w dw yields Z w e w dw = w e w-Z e w dw = w e w-e w + C. Substitute back in terms of z to nd that Z 5 z ln( z 2 ) dz = 5 2 z 2 ln z 2-5 2 z 2 + C....
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This note was uploaded on 04/02/2012 for the course MTH 132 taught by Professor Kihyunhyun during the Fall '10 term at Michigan State University.

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