What is the constant of integration?

• When finding an?anti-derivative?there is a constant term to consider
• In terms of?graphing?an?anti-derivative,?there are endless possibilities
  • collectively these may be referred to as the?family?of?antiderivatives?or?family?of?curves
  • the constant of integration is determined by the?exact?location of the curve
    • if a?point?on the?curve?is?known,?the?constant?of?integration?can be found

How do I find the constant of integration?

What is meant by the area under a curve?

• The phrase “area under a curve”?refers to the area bounded by

What is a definite integral?

How do I form a definite integral to find the area under a curve?

Does my calculator/GDC do definite integrals?

• Modern graphic calculators (and some ‘a(chǎn)dvanced’ scientific calculators) have the functionality to evaluate?definite?integrals
  • i.e. they can calculate the?area under a curve?(see above)
• If a calculator has a button for evalutaing definite integrals it will look something like
• This may be a physical button or accessed via an on-screen menu
• Some GDCs may have the ability to find the area under a curve from the graphing screen
• Be careful with?any?calculator/GDC, they may not produce an?exact?answer

How do I use my GDC to find definite integrals?