4.4 2 nd Fundamental Theorem of Calculus

Sep 08, 2014

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4.4 2 nd Fundamental Theorem of Calculus. Variables of integration. F: function of x. Variable of integration. a=#. Variable of integration. a ,b =#s. Finding F(x). Find F as a function of x and evaluate at x=2,5,8 for. Answer. Integrate and evaluate. 2 nd FToC. Use 2 nd FToC.

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4.4 2 nd Fundamental Theorem of Calculus

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4.4 2nd Fundamental Theorem of Calculus
Variables of integration F: function of x Variable of integration a=# Variable of integration a,b=#s
Finding F(x) • Find F as a function of x and evaluate at x=2,5,8 for
Answer • Integrate and evaluate
2ndFToC
Use 2ndFToC • Use 2ndFToC to find F’(x)
Answer • Take derivative of integral
Use FToC • Find F’(x).
Answer • Use FToC and chain rule together

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