how do you find the area between two curves?

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- anonymous

how do you find the area between two curves?

- schrodinger

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- amistre64

integrate between them

- anonymous

how do you do that?

- amistre64

lets turn the curves into lines...straight horizontal lines and see what happens :)

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- amistre64

if we bind them between x=0 and some other value like x=10 we get a square or rectangle shape right?

- anonymous

yes yes

- amistre64

like this; how would we determine the area of the orange part?

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- amistre64

we would take the area of the whole thing from the x axis to the top "function".
and subtract the area that is defined by the x axis to the bottom "function"....right?

- amistre64

Total area - grey area = orange area...

- anonymous

yes yes

- anonymous

How do you find the upper function?

- amistre64

the upper function tends to be defined; they give you 2 curves and say find the area between them right?

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- amistre64

if you dont know the "upper" function off hand, just pick one; and if your area is negative, then you choose the wrong one :)
tell me: does:
5-8 = -3?
8-5 = 3?
same numbers, different order just produce a spurious (-)

- amistre64

if you decide to take the absolutle value of whichever way you do:
|-3|
then it really doesnt matter :)

- amistre64

If the whole are is 10, and the part to take away is 4:
10-4 = 6 which is correct. but if you switch them its no big deal really since area is not negative to begin with.
4 - 10 = -6 gives an area, its just been done backwards...|-6| is what you want

- amistre64

does that make sense?

- anonymous

yes yes (:

- anonymous

so you just guess and check to find which one is the upper function?

- anonymous

and then once you have found it, you subtract it from the lower function?

- amistre64

if you cant tell the difference between the two, then yeah :) Youll know your backwards when you get a (-) area between two curves because thats just silly :) tell me, between me and you is there negative distance?

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