This preview shows pages 1–4. 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 Document
Unformatted text preview: Region D Area = f x ( ) dx a b ∫ Area = f y ( ) dy c d ∫ Area = f x ( )− g x ( ) ( ) dx a b ∫ Area = f y ( ) − g y ( ) ( ) dy c d ∫ General Comments • Notice that a and b are on the xaxis c and d are on the yaxis • When using formulas involving f x ( ) you must solve for y for example: y = x 2 • When using formulas involving f y ( ) you must solve for x for example: y = x 2 → x = y • Look at the region and decide which way to slice vertical slices → dx → to x − axis horizontal slices → dy → to y − axis • Remember if using horizontal slices, write relations in the form " x =" • If finding total area, sometimes it is necessary to break up your integrals, for example Area = f x ( ) dx − a b ∫ f x ( ) dx b c ∫...
View
Full
Document
This note was uploaded on 02/04/2011 for the course MATH 116 taught by Professor John during the Spring '10 term at Saint Michael's College  Colchester, Vermont.
 Spring '10
 John
 Calculus

Click to edit the document details