Transcription of Common Derivatives Integrals - tutorial.math.lamar.edu
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Common Derivatives Integrals - tutorial.math.lamar.edu
Common Derivatives and Integrals Common Derivatives and Integrals Derivatives Integrals Basic Properties/Formulas/Rules Basic Properties/Formulas/Rules d ( cf ( x ) ) = cf ( x ) , c is any constant. ( f ( x ) g ( x ) ) = f ( x ) g ( x ) cf ( x ) dx = c f ( x ) dx , c is a constant. f ( x ) g ( x ) dx = f ( x ) dx g ( x ) dx dx b b d n ( x ) = nx n-1 , n is any number. d ( c ) = 0 , c is any constant. a f ( x ) dx = F ( x ) a = F ( b) - F ( a ) where F ( x ) = f ( x ) dx dx dx b b b b b a cf ( x ) dx = c a f ( x ) dx , c is a constant. a f ( x ) g ( x ) dx = a f ( x ) dx a g ( x ) dx f f g - f g . ( f g ) = f g + f g (Product Rule) = (Quotient Rule) a b a g g2 a f ( x ) dx = 0 a f ( x ) dx = - b f ( x ) dx d ( ).
Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Inverse Trig Functions 1 22
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