- SOFIs
- 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, volumes, 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 (Dec. 9, tomorrow), 3:30 - 5:00 PM
- Sturges 208A
- Bring your questions/topics
- Homework problem 6? What is the shape of the volume?
- Circular tube built up from intersection of parabolas
- Circular tube built up from intersection of parabolas
- Volume of sine curve rotated around x axis
- Needed to find antiderivative of sin2x then use it to compute volume
- Do you always want to remove powers of trig functions in integrals?
- Not necessarily, consider this (somewhat contrived) example
where √(1-sin2x) simplifies to cosx and
then substitution u = sinx turns sin2x into u2
- Not necessarily, consider this (somewhat contrived) example
where √(1-sin2x) simplifies to cosx and
then substitution u = sinx turns sin2x into u2
- Needed to find antiderivative of sin2x then use it to compute volume
- Volume of parabola rotated around y axis
