This preview shows pages 1–8. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: g ( x ) f ( x ) dx Must be able to integrate g ( x ) Must be able to integrate g ( x ) f ( x ) LIATE rule Choose f ( x ) as high up as possible: Logarithmic (e.g. ln x ) Inverse Trigonometric (e.g. sin1 x ) Algebraic (e.g. x3 ) Trigonometric (e.g. sin x ) Exponential (e.g. e x ) Denite Integrals Denite Integrals Z b a f ( x ) g ( x ) dx = [ f ( x ) g ( x )] b aZ b a g ( x ) f ( x ) dx Example Z 9 4 ln y y dy = " f ( y ) = ln y, f ( y ) = 1 y g ( y ) = 1 y , g ( y ) = 2 y # = [ln y 2 y ] 9 4Z 9 4 2 y 1 y dy = 6 ln 94 ln 4Z 9 4 2 y dy = 6 ln 94 ln 4[4 y ] 9 4 = 6 ln 94 ln 44...
View
Full
Document
 Fall '08
 Reshetiken

Click to edit the document details