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Formula List Math 1230

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calculus II

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Formula List Math 1230

  1. 1. Math 1230 Formula List 1. Euler’s Method  y n1  y n  hy n 2. Centroid   b b xf ( x) dx 1  f ( x)2 dx 2 x y a a ,   b b f ( x) dx f ( x) dx a a 3. Taylor Series f (c) f ( n ) (c ) f ( x)  f (c)  f (c)( x  c)  ( x  c) 2    ( x  c) n   2! n! for n  0, 1, 2, 3,  4. Differentiating and Integrating of Power Series  If f ( x)   a ( x  c) n 0 n n   na ( x  c) d n 1 Then (a) f (x)  n dx n 1    n  1 ( x  c) x an n 1 (b) f ( x) dx  0 n 0

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