the area between the function y=f(x) and y=0:Calculus
Lesson
33
Area
between two curves
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We already know how to find the area underneath a curve, but this is REALLY
the area between the function y=f(x) and y=0:
Thus it makes sense that to find the area between two curves, the formula is:
(also think of top area minus bottom area)
Make sure that you pick the correct axis to use!
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correct incorrect (need 2 integrals)
We'll almost always be able to use first case (dx) since we deal in functions!
Steps: 1) Determine where the two curves meet
2) Set up integral(s)
3) Integrate!
4) Make sure each section has a positive area!
Examples: 
Watch out for more than one intersection point!
Examples: 
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