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    nocluesss_123's Avatar
    nocluesss_123 Posts: 1, Reputation: 1
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    #1

    Sep 27, 2008, 12:04 AM
    Area of integration
    Hello,

    How would you do this question:

    Find the area bounded by the curves with equations y=1/2sin(2x) and y=-cos(1/3x), the line x= PI/2 and the y-axis.

    I don't know the value of the y-axis. How would I work out this value, everything else is fine.

    Thanks
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Sep 27, 2008, 03:49 AM

    You need to have at least a sketch, that'll make you see it more clearly. The y axis and the line are the limits of the region. Then, according to your sketch, find the area you need through integration.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Sep 27, 2008, 07:20 AM
    As mentioned, always graph these things. Since the y-axis is a bound, doesn't that correspond to x=0?
    Here is a graph of your region.
    Attached Images
     
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #4

    Sep 28, 2008, 06:31 AM

    You have a graphing package on your PC galactus?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #5

    Sep 28, 2008, 06:58 AM
    Yes, I do. It is a free download. Let me root out the site and you, too, and have it.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #6

    Sep 28, 2008, 07:00 AM
    Here is the link to the graphing utility I use. It is very nice for a freebie.

    Graph
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #7

    Sep 28, 2008, 07:04 AM

    Thanks!!
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