MAT 21B Lecture 5: Lecture 5
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MAT 21B Full Course Notes
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:: : : : :o: : : :* : :: . Thus f of the is area under given by. Let rn = ln be the lower sum of. In previous lecture it is showed that finna ln =3. I fee) da fo ct - as doc =3. We used lower also use endpoint any and in the sum sum example . Ge - 2x f " z be ] ! Eat:: ii. are . find c such that glad = c. Clb - a ) fab food doc c. Notice that f cc ) we if f l fg ) choose (to ) c. Theorem : ( mean value theorem for definite integrals ) If we is f have continuous f cc ) = on on cf ) then la , [ a. b] , point da: 4 - fundamental theorem of calculus. Theorems relate to calculate many to integrals to integrals anti derivatives allow us.