Definite Integrals and Substitution

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• Misc
  • Colloquium
    • Wednesday, Dec. 3, 2:45 - 3:45 PM
    • Newton 201
    • “Learning with Leibniz”
    • Olympia Nicodemi
    • Extra credit for going and writing a 1-paragraph summary/review
  • SOFIs
    • http://go.geneseo.edu/sofi_survey
  • Final Exam
    • Wednesday, Dec. 10, 12:00 Noon
    • Usual classroom
    • Comprehensive but emphasizing material since 2nd hour exam (e.g., Riemann sums, fundamental theorem, definite integrals, substitution, integral applications, etc.)
    • Designed for 2 hours, you’ll have 3
    • Otherwise similar rules and format to hour exams, esp. open references and computers
    • Donuts and cider
  • Review session
    • Study day (Tuesday, Dec. 9), 3:30 - 5:00 PM
    • Sturges 208A
• Questions?
  • Problem set 10: half-hour grading slots please
• Substitution and Definite Integrals
  • “Substitution Formula” subsection of section 5.6
    • Theorem 7 re substitution in definite integrals
      • If g′ continuous on [a,b]
      • And f continuous on g(x) = u
      • Then...
        
  • Example
    
• Next
  • Volumes via integration
  • Read section 6.1

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