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5.3 The Fundamental Theorem of Calculus

5.3 The Fundamental Theorem of Calculus. The Fundamental Thm, Part 2:. If f is continuous on [ a , b ], then. where F  = f. Ex 1 : Evaluate the integral. Ex 2 : Find the area under the parabola y = 4 x 2  5 from  2 to 3. The Fundamental Thm, Part 1:. Let’s say….

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5.3 The Fundamental Theorem of Calculus

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  1. 5.3 The Fundamental Theorem of Calculus

  2. The Fundamental Thm, Part 2: If f is continuous on [a, b], then where F  = f.

  3. Ex 1: Evaluate the integral.

  4. Ex 2: Find the area under the parabola y = 4x2 5 from 2 to 3.

  5. The Fundamental Thm, Part 1: Let’s say…

  6. The Fundamental Thm, Part 1: If f is continuous on [a, b], then g is continuous on [a, b] and differentiable on (a, b), and …

  7. The Fundamental Thm, Part 1: g (x) = f (x) WOW!

  8. Ex 3: Evaluate the integral.

  9. HW: 5.3 pg. 398#1 – 49 EOO

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