This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: ( ) cos ( ) x a x x dx b xe dx HINTS: 1. You must be able to integrate dv. It will often be the most complicated part that fits an integration formula. 2. An application of the formula should produce an integral that is easier (or at least no harder) to integrate. 3. , 0, let and p kx p kx x e dx p u x dv e dx = = 4. (ln ) , 0, let (ln ) and p q q p x x dx p u x dv x dx = = Integration by parts may need to be applied more than once. Note example 3 on page 471. Examples 2 2 3 ( ) sin 2 Requires integration by parts twice. ( ) Think ahead on this one. ( ) sin(ln ) Refer to example 4. ( ) Area bounded by 5ln , ln( ) ( ) Volume using shells from rotati x a x x dx b x e dx c x dx d y x y x x e = = ng about the y-axis , , . : 1 x x y e y e x-= = =...
View Full Document