Monday, March 19, 2012

The Definite Integral

Remember the difference between the indefinite integral and the definite integral:
Indefinite

  • will have a "+ C"
  • answer will be a function
  • no upper/lower bound on integral symbol
Definite
  • no "+ C"
  • answer will be a NUMBER
  • it has upper/lower bounds on integral symbol
Steps to solving:
1. Find the integral
2. Plug in upper bound
3. Plug in lower bound
4. Subtract step #3 from step #2


Remember what we are REALLY doing...calculating definite integrals is the "easy" way to add up all those infinite rectangles and get the TRUE area under a curve.


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