Transcription of Common Derivatives Integrals - cheat sheets
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Common Derivatives and Integrals Visit for a complete set of Calculus I & II notes. 2005 Paul Dawkins Derivatives Basic Properties/Formulas/Rules ()()()dcfxcfxdx =, c is any constant. ()()()()()fxgxfxgx = ()1nndxnxdx-=, n is any number. ()0dcdx=, c is any constant. ()fgfgfg =+ (Product Rule) 2ffgfggg -= (Quotient Rule) ()()()()()()dfgxfgxgxdx = (Chain Rule) ()()()()gxgxdgxdx =ee ()()()()lngxdgxdxgx = Common Derivatives Polynomials ()0dcdx= ()1dxdx= ()dcxcdx= ()1nndxnxdx-= ()1nndcxncxdx-= Trig Functions ()sincosdxxdx= ()cossindxxdx=- ()2tansecdxxdx= ()secsectandxxxdx= ()csccsccotdxxxdx=- ()2cotcscdxxdx=- Inverse Trig Functions ()121sin1dxdxx-=- ()121cos1dxdxx-=-- ()121tan1dxdxx-=+ ()121sec1dxdxxx-=- ()121csc1dxdxxx-=-- ()121cot1dxdxx-=-+ Exponential/Logarithm Functions ()()lnxxdaaadx= ()xxddx=ee ()()1ln,0dxxdxx=> ()1ln,0dxxdxx= ()()1log,0lnadxxdxxa=> Hyperbolic Trig Functions ()sinhcoshdxxdx= ()coshsinhdxxdx= ()2tanhsechdxxdx= ()sechsechtanhdxxxdx=- ()cschcschcothdxxxdx=- ()2cothcschdxxdx=- Common Derivatives and Integrals Visit for a complete set of Calculus I & II notes.
The standard formulas for integration by parts are, bbb aaa ... 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 …
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