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Math Help - Sketch and find the area of the region bounded by the given curves. Choose the variab

  1. #1
    JDS
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    Sketch and find the area of the region bounded by the given curves. Choose the variab

    Sketch and find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral.

    x = y2
    x = 4

    I am not sure where to start on this one.....If I could get some advice on how to graph this, that would be a great start. I have attached my attempt at graphing this.

    Sketch and find the area of the region bounded by the given curves. Choose the variab-correct-graph.png

    Thanks in advance!
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    Your graph is missing the bottom half of the parabola. When you draw that, you should have a region to integrate. I think the variable of integration can be either x or y; you get a single integral either way.

    - Hollywood
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    JDS
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    Thanks Hollywood....

    Would this graph work?

    Sketch and find the area of the region bounded by the given curves. Choose the variab-corrected-graph.png
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    MHF Contributor MarkFL's Avatar
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    You want something like:

    Sketch and find the area of the region bounded by the given curves. Choose the variab-paraplot.jpg
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    JDS
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    Sketch and find the area of the region bounded by the given curves. Choose the variab-worked-out1.png

    Here is my worked out solution. Look correct?
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    Quote Originally Posted by JDS View Post
    Click image for larger version. 

Name:	worked it out1.png 
Views:	4 
Size:	13.8 KB 
ID:	26609
    Here is my worked out solution. Look correct?
    Yes it does.
    But I did not do the actual calculations. Here they are.
    Last edited by Plato; January 18th 2013 at 02:39 PM.
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  7. #7
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    Quote Originally Posted by MarkFL2 View Post
    You want something like:

    Click image for larger version. 

Name:	paraplot.jpg 
Views:	3 
Size:	19.6 KB 
ID:	26608
    Or perhaps the OP wants the region bounded by his/her functions and the x-axis...
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    Re: Sketch and find the area of the region bounded by the given curves. Choose the va

    Quote Originally Posted by Prove It View Post
    Or perhaps the OP wants the region bounded by his/her functions and the x-axis...
    Perhaps. I actually thought of that. But the actual post said, "Sketch and find the area of the region bounded by the given curves ..., x = y^2, x = 4", so I went with that.

    - Hollywood
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