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Unformatted text preview: The function which is to be dv by whichever function comes last in the list since functions lower on the list have easier antiderivatives Evaluate. Our calculations can be set up as follows: u = f x ( ) = x " f x ( ) = v = G x ( ) = Then x 2 x " 3 ( ) 3 # dx = Differentiate Integrate Evaluate Our calculations can be set up as follows: Then x 2 e x " dx = Notice that the resultant integral cannot yet be solved using conventional methods. Therefore, we will attempt to use integration by parts again . Our calculations can be set up as follows: Then 2 x " e x # dx = Therefore, we have x 2 e x " dx = Evaluate ln x " dx Evaluate ln x x 5 " dx...
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 Spring '08
 BUETTGENS
 Integration By Parts, Integration By Substitution, Inverse trigonometric functions, Dept. Of Math, Quanlei Fang

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