1300 Math Formulas
CHAPTER 9. INTEGRAL CALCULUS = = Figure 181. = ^êÉ~=råÇÉê=~=`ìêîÉ= p Ñ() () ()ñÇñ cÄ c~ Ä ~ =∫ = − I== ïÜÉêÉ=c′()ñ =Ñ(ñ)K= = ...
CHAPTER 9. INTEGRAL CALCULUS = = Figure 182. = ^êÉ~=_ÉíïÉÉå=qïç=`ìêîÉë= p []Ñ() ()ñ Öñ Çñ c() () () ()Ä dÄ c~ d~ Ä ~ =∫ − = − ...
CHAPTER 9. INTEGRAL CALCULUS = = Figure 183. = = = 9.9 Improper Integral = 1070. qÜÉ=ÇÉÑáåáíÉ=áåíÉÖê~ä==∫ () Ä ~ ÑñÇñ=áë=Å~ääÉÇ= ...
CHAPTER 9. INTEGRAL CALCULUS = = Figure 184. = fÑ=Ñ()ñ=áë=~=Åçåíáåìçìë=ÑìåÅíáçå=çå=(−∞IÄ]I=íÜÉå== ∫ () ∫ () −∞ →−∞ = Ä å å Ä Ñ ...
CHAPTER 9. INTEGRAL CALCULUS kçíÉ=W=qÜÉ=áãéêçéÉê=áåíÉÖê~äë=áå=NMTNI=NMTO=~êÉ=ÅçåîÉêÖÉåí= áÑ=íÜÉ=äáãáíë=Éñáëí=~åÇ=~êÉ=ÑáåáíÉX=çíÜ ...
CHAPTER 9. INTEGRAL CALCULUS • fÑ=∫ () ∞ ~ ÑñÇñ=áë=ÅçåîÉêÖÉåíI=íÜÉå=∫ () ∞ ~ Ö=áë=~äëç=ñÇñ =====ÅçåîÉêÖÉåíI= • fÑ=∫ () ∞ ~ ÖñÇñ= ...
CHAPTER 9. INTEGRAL CALCULUS iÉí=Ñ =ÄÉ=~=Åçåíáåìçìë=ÑìåÅíáçå=Ñçê=~ää=êÉ~ä=åìãÄÉêë==ñ==áå=()ñ íÜÉ=áåíÉêî~ä==[]~IÄ==ÉñÅÉéí==Ñçê= ...
CHAPTER 9. INTEGRAL CALCULUS ^êÉ~W=^= pìêÑ~ÅÉ=~êÉ~W=p= sçäìãÉ=çÑ=~=ëçäáÇW=s= j~ëë=çÑ=~=ä~ãáå~W=ã= aÉåëáíóW=ρ()ñIó = cáêëí=ãçãÉåí ...
CHAPTER 9. INTEGRAL CALCULUS qÜÉ=ÇçìÄäÉ=áåíÉÖê~ä=çîÉê=~=ÖÉåÉê~ä=êÉÖáçå=o=áë== () ( ) [][] ∫∫ ∫∫ × = o ~IÄ ÅIÇ ÑI==ñIóÇ^ ÖñIóÇ^ ï ...
CHAPTER 9. INTEGRAL CALCULUS =∫∫()≤∫∫ ( ) p o ÑK=ñIóÇ^ ÑñIóÇ^ = = = Figure 191. = fÑ=Ñ()ñIó ≥M=çå=o=~åÇ=o=~åÇ=p=~êÉ=åçå-çîÉêä~é ...
CHAPTER 9. INTEGRAL CALCULUS fíÉê~íÉÇ=fåíÉÖê~äë=~åÇ=cìÄáåá∞ë=qÜÉçêÉã= () () () () ∫∫ =∫∫ Ä ~ èñ o éñ Ñ==ñIóÇ^ ÑñIóÇóÇñ Ñçê=~=ê ...
CHAPTER 9. INTEGRAL CALCULUS = = Figure 194. = açìÄäÉ=fåíÉÖê~äë=çîÉê=oÉÅí~åÖìä~ê=oÉÖáçåë= fÑ=o=áë=íÜÉ=êÉÅí~åÖìä~ê=êÉÖáçå=[~IÄ] ...
CHAPTER 9. INTEGRAL CALCULUS Å~å=ÄÉ=ÅçãéìíÉÇ=Äó=ñ=ñ(ìIî)I=ó=ó(ìIî)=áåíç=íÜÉ=ÇÉÑáåá- íáçå=çÑ=oK== = mçä~ê=`ççêÇáå~íÉë= ñ=êÅçëθI ...
CHAPTER 9. INTEGRAL CALCULUS = = Figure 196. fÑ=íÜÉ=êÉÖáçå=o=áë=íÜÉ=éçä~ê=êÉÅí~åÖäÉ=ÖáîÉå=Äó== M≤~≤ê≤ÄI=α≤θ≤βI=ïÜÉêÉ=β−α≤OπI=== ...
CHAPTER 9. INTEGRAL CALCULUS ^êÉ~=çÑ=~=oÉÖáçå= () () =∫∫ Ä ~ Ññ Öñ ^ ÇóÇñ=EÑçê=~=íóéÉ=f=êÉÖáçåFK= = = = Figure 198. = () () =∫ ...
CHAPTER 9. INTEGRAL CALCULUS sçäìãÉ=çÑ=~=pçäáÇ= =∫∫ () o sK==ÑñIóÇ^ = = = Figure 200. = fÑ=o=áë=~=íóéÉ=f=êÉÖáçå=ÄçìåÇÉÇ=Äó=ñ=~ ...
CHAPTER 9. INTEGRAL CALCULUS fÑ==Ñ()()ñIó ≥ÖñIó ==çîÉê==~==êÉÖáçå==oI==íÜÉå==íÜÉ==îçäìãÉ==çÑ= íÜÉ= ëçäáÇ= ÄÉíïÉÉå=òN=Ñ(ñIó)=~åÇ= ...
CHAPTER 9. INTEGRAL CALCULUS j~ëë=çÑ=~=i~ãáå~= =∫∫ρ() o ãI==ñIóÇ^ ïÜÉêÉ==íÜÉ==ä~ãáå~==çÅÅìéáÉë==~==êÉÖáçå==o=~åÇ==áíë==ÇÉåëáíó ...
CHAPTER 9. INTEGRAL CALCULUS () ( ) ∫∫ () ∫∫ ∫∫ ρ ρ = = ρ = o o o ñ ñIóÇ^ ó ñIóÇ^ ó ñIóÇ^ ã N ã j óK== = `Ü~êÖÉ=çÑ=~=mä~íÉ= =∫ ...
CHAPTER 9. INTEGRAL CALCULUS j~ëë=çÑ=~=ëçäáÇW=ã== aÉåëáíóW=μ()ñIóIò = `ççêÇáå~íÉë=çÑ=ÅÉåíÉê=çÑ=ã~ëëW=ñI=óI=ò= cáêëí=ãçãÉåíëW=jI= ...
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