Transcription of nn) (cx ncx nn)
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nn) (cx ncx nn)
Common Derivatives and Integrals Visit for a complete set of Calculus I & II notes. 2005 Paul Dawkins Derivatives Basic Properties/Formulas/Rules ()()( )dcf xcfxdx =, c is any constant. ()( )()() ()fxgx fxgx = ( )1nndxnxdx =, n is any number. ()0dcdx=, c is any constant. ( )fgf g fg = + (Product Rule) 2ff g fggg = (Quotient Rule) ( )()()( )()()df gxf gx g xdx = ( Chain Rule) ( )()( )()gxgxdgxdx =ee ( )()( )( )lngxdgxdxg x = Common Derivatives Polynomials ( )0dcdx= ( )1dxdx= ()dcxcdx= ( )1nndxnxdx = ( )1nndcxncxdx = Trig Functions ()sincosdxxdx= ()cossindxxdx= ()2tansecdxxdx= ()secsec tandxxxdx= ()csccsc cotdxxxdx= ()2cotcscdxxdx= Inverse Trig Functions ()121sin1dxdxx = ()121cos1dxdxx = ()121tan1dxdxx =+ ()121sec1dxdxxx = ()121csc1dxdxxx = ()121cot1dxdxx = + Exponential/Logarithm Functions ( )( )lnxxdaaadx= ( )
where the degree (largest exponent) of Px( ) is smaller than the degree of Qx( ) then factor the denominator as completely as possible and find the partial fraction decomposition of the rational expression. Integrate the partial fraction decomposition (P.F.D.). For each factor in the denominator we get term(s) in the
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