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Finding region bounded by curves

  1. Jan 27, 2006 #1
    Hi. I'm new here. :) I was wondering if anyone could help me out with this problem....
    i'm supposed to find the region bounded by:
    y=x+1
    y=e^-x
    x=1

    i think i should find the other point of intersection but i forgot to do that (i haven't taken a math course for about 4 years).
    please help!!!
     
  2. jcsd
  3. Jan 27, 2006 #2
    It's just

    [tex]\int_0^1 (x+1-e^{-x}) dx = (\frac 1 2 x^2 + x + e^{-x})\vert_0^1 = 1/2+e^{-1}[/tex]
     
  4. Jan 27, 2006 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Find the region or find the area of the region?

    "i think i should find the other point of intersection but i forgot to do that "
    Forgot to do that or forgot how to do that?:rolleyes:

    The region is bounded by the three curves y= x+ 1, y= e-x and x= 1. It should be easy to see that y= x+ 1 and y= e-x cross at (0, 1). Of course, y= x+ 1 and x= 1 cross at (1, 2). Finally, y= e-x and x= 1 cross at (1, e-1).

    maverick6664, please don't give the full answer to homework problems.
     
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