Day 36 in Mat129

Last time: Definite Integrals

Next time: Fundamental Theorem (Part II)

Announcements
- Next exam: Tuesday, 4/20
- Thu 4/15 Section 5.3/5.4 Read 5.5 for Monday;
  Problems to hand in: pp. 282-284, #3, 7, 12, 22, 24, 25, 27, 43, 44 (due 4/22)
Last time: The Fundamental Theorem of Calculus, Part I
- Well folks, here it is:
  It says that to integrate, all you have to do is think of an antiderivative F of the integrand f.
- Let's derive/motivate the FTC using the linearization (again! wow, it's useful...)
- Examples:
  - #12, p. 276
  - #40, p. 277
  - #49, p. 277
Today: Section 5.4: The Fundamental Theorem of Calculus, Part II
- The news isn't earth-shaking: but it's certainly an interesting idea!
- Now we arrive at the FTC, Part II:
- Examples:
  - #1, p. 282
  - #8, p. 282
  - #16, p. 282
  - #20, p. 282
  - #23 p. 282
  - #46 p. 284

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