1300 Math Formulas
CHAPTER 9. INTEGRAL CALCULUS bî~äì~íáçå=çÑ=qêáéäÉ=fåíÉÖê~äë=Äó=oÉéÉ~íÉÇ=fåíÉÖê~äë= fÑ=íÜÉ=ëçäáÇ=d=áë=íÜÉ=ëÉí=çÑ=éçáåíë=(ñIóIò)= ...
CHAPTER 9. INTEGRAL CALCULUS ïÜÉêÉ== () () M ï ò î ò ì ò ï ó î ó ì ó ï ñ î ñ ì ñ ìIîIï ñIóIò ≠ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ...
CHAPTER 9. INTEGRAL CALCULUS ==========∫∫∫ ()θ φ θ φ θ θ θ φ p ÑI==êëáå Åçë Iêëáå ëáå IêÅçë êOëáå ÇêÇ Ç ïÜÉêÉ=íÜÉ=ëçäáÇ=p=áë=íÜÉ ...
CHAPTER 9. INTEGRAL CALCULUS j~ëë=çÑ=~=pçäáÇ= =∫∫∫ μ() d ãI==ñIóIòÇs ïÜÉêÉ= íÜÉ= ëçäáÇ= çÅÅìéáÉë= ~= êÉÖáçå= d= ~åÇ= áíë= ÇÉåë ...
CHAPTER 9. INTEGRAL CALCULUS = + =∫∫∫( + )μ( ) d O O fK==ò fñò fóò ó ñ ñIóIò Çs = mçä~ê=jçãÉåí=çÑ=fåÉêíá~= = + + =∫∫∫( + + )μ( ...
CHAPTER 9. INTEGRAL CALCULUS iáåÉ=fåíÉÖê~ä=çÑ=~=pÅ~ä~ê=cìåÅíáçå= iÉí=~=ÅìêîÉ==ÄÉ=ÖáîÉå=Äó=íÜÉ=îÉÅíçê=ÑìåÅíáçå=ê ê(ë) r r = I= M ...
CHAPTER 9. INTEGRAL CALCULUS ∫ () (∫ ) β α θ θ = θ θ + Ç Ç Çê cñIóÇë cêÅçë Iêëáå ê O O ` I== ïÜÉêÉ=íÜÉ=ÅìêîÉ=`=áë=ÇÉ ...
CHAPTER 9. INTEGRAL CALCULUS mêçéÉêíáÉë=çÑ=iáåÉ=fåíÉÖê~äë=çÑ=sÉÅíçê=cáÉäÇë= ∫()()⋅ =−∫ ⋅ −` ` c Çê c Çê r r r r I== ïÜÉêÉ=-`=Ç ...
CHAPTER 9. INTEGRAL CALCULUS ^êÉ~=çÑ=~=oÉÖáçå=o=_çìåÇÉÇ=Äó=íÜÉ=ìêîÉ== =∫∫ = ∫ − o ` ñÇó óÇñ O N p ÇñÇó = = m~íÜ=fåÇÉéÉåÇÉåÅÉ= ...
CHAPTER 9. INTEGRAL CALCULUS iÉåÖíÜ=çÑ=~=`ìêîÉ= ∫ ∫ () ∫ β α β α + + = = = Çí Çí Çò Çí Çó Çí ...
CHAPTER 9. INTEGRAL CALCULUS ∫ ()() () () β α + + = ρ Çí Çí Çò Çí Çó Çí Çñ ã ñíIóíIòí O O O ...
CHAPTER 9. INTEGRAL CALCULUS ^êÉ~=çÑ=~=oÉÖáçå=_çìåÇÉÇ=Äó=~=äçëÉÇ=ìêîÉ= =∫ =−∫ = ∫ − ` ` ` ñÇó óÇñ O N p ñÇó óÇñ K== = = = Figu ...
CHAPTER 9. INTEGRAL CALCULUS = = Figure 206. = tçêâ= tçêâ=ÇçåÉ=Äó=~=ÑçêÅÉ= c r =çå=~å=çÄàÉÅí=ãçîáåÖ=~äçåÖ=~=ÅìêîÉ= `=áë=ÖáîÉå= ...
CHAPTER 9. INTEGRAL CALCULUS fÑ=íÜÉ=çÄàÉÅí=áë=ãçîÉÇ=~äçåÖ=~=ÅìêîÉ=`=áå=íÜÉ=ñó-éä~åÉI=íÜÉå= =∫ ⋅ =∫ + ` ` t c Çê mÇñ nÇó r r I== ...
CHAPTER 9. INTEGRAL CALCULUS c~ê~Ç~ó∞ë=i~ï= Çí Ç b Çê ` ψ ε=∫ ⋅ =− r r = = qÜÉ=ÉäÉÅíêçãçíáîÉ=ÑçêÅÉ=EÉãÑF=ε=áåÇìÅÉÇ=~êçìåÇ=~=Åä ...
CHAPTER 9. INTEGRAL CALCULUS `ìêä=çÑ=~=îÉÅíçê=ÑáÉäÇW=Åìêäc c r r =∇× == sÉÅíçê=ÉäÉãÉåí=çÑ=~=ëìêÑ~ÅÉW=Çp r = kçêã~ä=íç=ëìêÑ~ÅÉW=å ...
CHAPTER 9. INTEGRAL CALCULUS () () ()ìIîâ ì ò ìIî à ì ó ìIîá ì ñ ì ê r r r r ∂ ∂ + ∂ ∂ + ∂ ∂ = ∂ ∂ I== () () ()ìIîâ î ò ìIîà î ó ...
CHAPTER 9. INTEGRAL CALCULUS () () ()ìIî â ì ò ìIî à ì ó ìIî á ì ñ ì ê r r r r ⋅ ∂ ∂ ⋅ + ∂ ∂ ⋅ + ∂ ∂ = ∂ ∂ I== () () ()ìIî â î ò ...
CHAPTER 9. INTEGRAL CALCULUS fÑ=íÜÉ=ëìêÑ~ÅÉ=p=áë=ÖáîÉå=áå=é~ê~ãÉíêáÅ=Ñçêã=Äó=íÜÉ=îÉÅíçê= ê()ñ()()ìIîIóìIîIò(ìIî) r I==íÜÉå==íÜÉ ...
CHAPTER 9. INTEGRAL CALCULUS ïÜÉêÉ== c()()ñIóIò =mñIóIòIn(ñIóIò)Io(ñIóIò) r === áë==~=îÉÅíçê==ÑáÉäÇ==ïÜçëÉ==ÅçãéçåÉåíë==mI==nI== ...
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