• Home
  • Georgia Gwinnett College
  • Calculus IMATH 2200
  • Calculus IMATH 2200 - Area Function and Fundamental Theorem

Calculus IMATH 2200 - Area Function and Fundamental Theorem

15.3 Nednesday, October 26,2022 12:09 PM Area Function [5.3 eendpoint'ais A=+f2 a Whoe xza JE=Y Ac2t AF]dt aH FO=)de Ca).A3)aF(3)4(S]aNFis4(F() Evaluafe e folling ara nchion )4=aa++=-273- F1S==3 1d+=-27+3-35=-59 J=mV6 Evaluafe e foloing aK functionr C4.A3)aHF(3bA(SaNFiS)CAaF a==7F-= Slutrons: b)4(5|==a++a=-273-4 FS=SH1t=3 c1.A9=e1d+=-27+3-25=-59 1a1-2-2=-32 cal Page 1 c.Ag=1dt=-27+3-x F(1=1d=3-35=-32 Lntegmuhm 5 htoly hindry Are t=a++=xWeAx=HO [5.311 fe2t4s Mbk Ai Trgen Eva(Jo +-F+ 2 = 4-39 3 2 Rnally A=a+ As=(2++3d+= GeonckiGa l1) =37+13=30 A==+3]=x/3-1 Arca Fasnc hinooun La aF15 cal Page 2 Arca Function Ax+30 X4 Fundamertul 9heorem Caculas Iff)is Contnuous on[ab]aFis ang aridenvatihe foen [ab]en (fxdx=F(b-F(a Irgegra BaSiQlly &rd Me Ateu Unde Me lurVe f(x) hy Tofind YX ale 5.5 Di89rcnh'om SUbSh] tvn SVa[Uale haL h-bx=bo-(3--66 0.646b..-1wf 51.2-1x 3o2~-2x J3Jxj= 3bt 30(10)-2(10]-300)-2( 3a)-20 l0 - Trles 128 -16 71000 7 u2 J3snxdz-3Jco>dx -3.1x12x) L 31s/n) cal Page