Area between two curves

  • Thread starter suspenc3
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  • #1
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Hi, im having a little trouble with this one, how do you do them when no boundaries are given?

[tex]y=sin \frac{\pi x}{2}[/tex]

and

[tex]y=x[/tex]

how do i find the boundaries?
 

Answers and Replies

  • #2
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EDIT:i know how to get the boundaries, but how do i know what numbers to integrate between?
 
  • #3
arildno
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Eeh, what about the interval [itex]0\leq{x}\leq{1}[/itex]??
 
  • #4
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why between 0 and 1
?..also..what is the integral of sin2x?
 
  • #5
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In an example in the book they find the points of intersection, is this how i do it?if so how would i find the points of intersection?
 
  • #6
arildno
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What does the term "point of intersection" MEAN?
Answer that, and you automatically may set up an equation whose solutions are the points of intersection.
 
  • #7
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You may graph the function for clearer understanding .
 
  • #8
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k..well cancel everyhting i said before..we have the two equations..I want to isolate x..and then find where the two curves intersect...

making it [tex]\frac{2y}{sin \pi} = x[/tex] is wrong isnt it?

how do i isolate x?

If I can find the points where the two curves intersect, then I can integrate between these two points to find the Area
 
  • #9
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Yes, that is wrong.
You have two equations in y and x .
The point of intersection has to satisfy both the conditions .
Now can you form the equation ?

Hint : Try to get an equation in x alone .
 

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