21 - PartsII

# 21 PartsII - \$& ’ sin 2 t 2" \$& dt Note Answer in quiz is 1 2 t cos t 2" \$& sin t 2" \$& Ex cot 2 4 x sin 4 4 x dx Ex cos

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Integration by Parts II udv = uv ! vdu " " Review: Ex. 2 x + 6 ( ) e ! x dx ! 1 0 " Ex. Evaluate arctan 4 t ( ) dt !

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Ex. cos ln y ( ) dy !
Ex. y 3 e y 5 dy !

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Ex. Find the volume of the solid of revolution of the region bounded by y = e x , y = e ! x , and x = 1 rotated around the y-axis. Do: 1. Find the area between y = ln2 x , y = 0, and x = 2 . 2. Evaluate y 2 cos y 3 ! " # \$ % dy .
Trig problems in integration by parts Ex. cot 2 t 2 ! "

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Unformatted text preview: # \$ % & ’ sin 2 t 2 ! " # \$ % & dt Note: Answer in quiz is 1 2 t + cos t 2 ! " # \$ % & sin t 2 ! " # \$ % & Ex. cot 2 4 x ( ) sin 4 4 x ( ) ! dx Ex. cos 5 y 5 ! " # \$ % & dy ’ Do: 1. csc 2 t ( ) ! sin 5 2 t ( ) dt 2. sin ! 1 t 2 " # \$ % & ’ dt 1 ( 3. sec 2 t ( ) ! sin 5 2 t ( ) dt...
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## This note was uploaded on 10/16/2009 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.

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21 PartsII - \$& ’ sin 2 t 2" \$& dt Note Answer in quiz is 1 2 t cos t 2" \$& sin t 2" \$& Ex cot 2 4 x sin 4 4 x dx Ex cos

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