The Area of a Region Between Two Curves (VCE SSCE Mathematical Methods): Flashcards
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Practise the cards
10 cards from this deck
Area between curves formula (f(x) ≥ g(x) on [a,b])
Area between curves formula (f(x) ≥ g(x) on [a,b])
Order of subtraction in area integral
Order of subtraction in area integral
Upper function minus lower function
Method when curves intersect within interval
Method when curves intersect within interval
Split into separate intervals
Finding curve intersection points
Finding curve intersection points
Set the two functions equal
Area: and
Area: and
square units
Area: and
Area: and
square unit
Area: sin x & cos x from to
Area: sin x & cos x from to
square units
What happens at curve intersections
What happens at curve intersections
Upper and lower functions swap positions
First step in area between curves problems
First step in area between curves problems
Find intersection points
Key principle for area between curves
Key principle for area between curves
Always integrate (upper - lower)