how do you find the area between 2 curves?

- anonymous

how do you find the area between 2 curves?

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- chestercat

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- anonymous

what grade you in?

- amistre64

take the integral of the top and subtract the integral of the bottom.

- amistre64

In essense, area of the bigger (-) area of the smaller gives you area left between curves.

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## More answers

- anonymous

hi amistre64, say if these are the curves y=x^2+5x & y=3-x^2 between x=-2 & x=0...then?

- amistre64

f(x) = x^2 +5x and g(x) = 3 -x^2
(S) f(x) dx = (1/3)x^3 + (5/2)(x^2) + x; F(0) - F(-2) = area under f(x).
(S) g(x) dx = 3x - (1/3)x^3; G(0) - G(-2) = area under g(x)
Subtract the area to determine area between the curves :)

- amistre64

You can forgo the F(0) and G(0), they are 0 to begin with :)

- anonymous

(S) f(x) dx = (1/3)x^3 + (5/2)(x^2) + x <<<<<<

- anonymous

Hey since we are in the same level of math, can someone help me with converge and diverge?

- amistre64

cause im old and forgetful :) forget that little "x"....

- anonymous

:) thnx..can u temme how to find which is the upper curve & which one is the lower one? any hints/tricks?

- amistre64

If you know the graphs, its easier; but to tell the truth I dont think it matters much.
Let me see....
if were going with a box. And one box is 50 and the other is 20, we would want to find the difference between them. 50-20 = 30; and 20-50=-30. Intuition says that if the area is negative, it is just a simple change of sign to make it right :)

- amistre64

Does it make sense to you?

- anonymous

yeah..of course!!

- anonymous

just see the "ask a question " pane

- anonymous

hey , can't we ask more than one question ? i am unable to click on "Ask" there...!

- anonymous

my question is ,whats the difference between total derivative & total differentiation ?

- amistre64

I have never been able to click on it, it just freezes kindof. And these posts are getting sticky too. Click "post" and have to come back to the "room" to type something else.... What I wouldnt give for a pencil and paper these days :)

- anonymous

yeah its the same here...it's like stuck!!

- amistre64

I dunno about the "total" part. But a derivative is when you use the symbol (dy/dx) or something like it. The derivative (dy/dx) cannot be a number, or seperated.
Differentiation on the other hand, is using the (dy/dx) as if it WAS a fraction and seperating it.
For examples:
dy/dx = x^2 is a derivative.
dy = x^2 dx is a deriviation.
Why there is a difference, i dont think ill ever know.

- anonymous

example for differentiation?

- anonymous

i need help in my mathematical literacy homework

- amistre64

There are alot of "d" words to keep track of in Calculus, youd think theyd have come up with better names...
dy = x^2 dx is an example of differentation.
And: It is the differentation that you work the integral on.
(S) dy = (S) x^2 dx
y = (1/3) x^3

- amistre64

mathmatical literacy? what would that consist of?

- amistre64

I might be confusing some issues there, so its always best to get a second opinion :)

- anonymous

algbra

- anonymous

amistre64, are you a professor somewhere?

- amistre64

kabela; are you able yo use the "ask a question" box?

- amistre64

I am getting a Masters in Math so I can be a college Math teacher and warp young fragile minds :)

- anonymous

ohhh...we are in the same level then :) great!

- amistre64

im taking "Trig" right now in college, and I am sooooo bored with it. I taught myself trig 3 semesters ago when they had me in intermediate algebra. So now I am teaching myself the Calculus stuff...

- anonymous

ohh...grt...then u can always clear my doubts..as i have calculus as my subject now...:) can i have your email id if possible?

- amistre64

just add "@gmail.com" to my screenname.

- anonymous

okay..thanks!!!...is ur mailbox open right now? i am dropping a mail to ur inbox

- amistre64

I can open it if need be. I remember the password and everything :)

- anonymous

just chk ur inbox..n respond so that i may know ive sent to the correct id

- anonymous

did u get it?

- amistre64

got it....

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