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Unformatted text preview: Region D Area = f x ( ) dx a b âˆ« Area = f y ( ) dy c d âˆ« Area = f x ( )âˆ’ g x ( ) ( ) dx a b âˆ« Area = f y ( ) âˆ’ g y ( ) ( ) dy c d âˆ« General Comments â€¢ Notice that a and b are on the xaxis c and d are on the yaxis â€¢ When using formulas involving f x ( ) you must solve for y for example: y = x 2 â€¢ When using formulas involving f y ( ) you must solve for x for example: y = x 2 â†’ x = y â€¢ Look at the region and decide which way to slice vertical slices â†’ dx â†’ to x âˆ’ axis horizontal slices â†’ dy â†’ to y âˆ’ axis â€¢ Remember if using horizontal slices, write relations in the form " x =" â€¢ If finding total area, sometimes it is necessary to break up your integrals, for example Area = f x ( ) dx âˆ’ a b âˆ« f x ( ) dx b c âˆ«...
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 Spring '10
 John
 Calculus, breakÂ up, Calculus Applications

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