CAS MA 124- Final Exam Guide - Comprehensive Notes for the exam ( 4 pages long!)

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Btwn 2 curves fab ( f ( x ) - glx ) ) dx or fab ( fly ) - gly ) )dy. A shape w/ a base of a graph. Dx ( fm , tfm , fmn ) Simpson"s :( 0 ) ( yo+4y , t zyzthtyztyn ) A or a wl a real number to evaluate result. Use that to calculate the area of shape. Guy 2) dx cylindrical shells around x : v=sabz . y ( fly ) y around y : v= fabzttxffcx ) - g( ) )dx. Partial fractions to if solve integrals , only works denominator can be factored mass fabp ( x ) dx. 1 1 go "e p > i=p , p< 1 a p=l diverges. 1) trough horiz length zm . f work. 9- x2 ( sjello y ) dy w l h - y.