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Unformatted text preview: r and over, and your estimate keeps getting closer and closer. First, you choose an estimate for the root as close as possible to the real answer. Then you just keep plugging your next answer into the formula: xn 1 xn f ( xn )
f '( xn ) 9. Anti‐Derivatives: Taking an anti‐derivative is undoing the derivative. There are lots of formulas to memorize for this. cf ( x)dx c f ( x)dx f ( x) g ( x)dx f ( x)dx g ( x)dx C e adx ax C (ax) dx n n1
1 ( ax )
a n 1 dx
x ln x C sin ax dx 1
a cos ax C cos ax dx csc (ax) 1
a cot(ax) C sec(ax) tan(ax) dx 2 a 2 dx
x arctan C x2 a
a2 x2 1
a du 1 e x C
a sec (ax) dx sin ax C
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This note was uploaded on 02/24/2014 for the course MATH 1151 taught by Professor Daniel during the Fall '12 term at Ohio State.
- Fall '12