1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

3 curve integral (asap)

  1. Nov 27, 2013 #1
    Find region between these 3 curves.
    2y=4sqrt(x)
    y=5
    2y+2x=6

    Not sure how to find limits or actually setup the intigration.. is it just (left-mid-right?) But no idea for limits..
     
  2. jcsd
  3. Nov 27, 2013 #2

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    When in doubt, make a sketch of the three curves (actually, one curve and two lines) and see what drops out.
     
  4. Nov 27, 2013 #3
    Hmm, I tried that and got a somewhat triangle, broke it up and got 2 integrals..
    From -2 to 1
    (5-(3-x))

    From 1 to 6
    5-2sqrt(x)

    But it was wrong
     
  5. Nov 27, 2013 #4

    Mark44

    Staff: Mentor

    You should simplify the 1st and 3rd equations.
    y = 2√x
    y + x = 3

    There's no point in leaving in those common factors.

    Yes. You have the x coordinates for two of the intersection points correct, but the square root function and the horizontal line don't intersect for x = 6.

    Try again.
     
  6. Nov 27, 2013 #5

    lurflurf

    User Avatar
    Homework Helper

    almost
    From -2 to 1
    (5-(3-x))

    From 1 to (try again)
    5-2sqrt(x)
    $$\mathrm{Area}=\int_{-2}^1 \! (5-(3-x))\, \mathrm{d}x+\int_1^{\text{try again}} \! (5-2\sqrt{x}) \, \mathrm{d}x$$
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: 3 curve integral (asap)
  1. Curve Integrals (Replies: 2)

  2. Curve integral (Replies: 1)

  3. Integral curves (Replies: 2)

  4. Integral on curve (Replies: 9)

  5. Integral curves (Replies: 2)

Loading...