5.3 The Fundamental Theorem of Calculus

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5.3 The Fundamental Theorem of Calculus
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The Fundamental Thm, Part 2
If f is continuous on a, b, then
where F ? f.
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Ex 1 Evaluate the integral.
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Ex 2 Find the area under the parabola y 4x2
? 5 from ?2 to 3.
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The Fundamental Thm, Part 1
Lets say
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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
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The Fundamental Thm, Part 1
g ?(x) f (x)
WOW!
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Ex 3 Evaluate the integral.
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HW 5.3 pg. 3981 49 EOO