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Math Help - Triple Integrals

  1. #1
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    Triple Integrals

    Evaluate the triple integral by changing the order. Could someone please help me with this problem?

    INT 0..4 INT 0..1 INT 2y..2 (4*cos(x^2)) / (2 *sqrt(z)) dx dy dz
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  2. #2
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    Did you draw the picture?
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    Quote Originally Posted by dwsmith View Post
    Did you draw the picture?
    In this case it wouldn't be necessary to draw a picture since you already have the integral limits. All it is asking you to do is change the order you integrate and then evaluate.
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    When you change the order the limits will change.
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    Quote Originally Posted by ur5pointos2slo View Post
    In this case it wouldn't be necessary to draw a picture since you already have the integral limits. All it is asking you to do is change the order you integrate and then evaluate.
    as dwsmith said, draw a pic.

    Doing that you will notice you can switch your y limits to 0 and x over 2 and your x limits to 0 to 2
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    Quote Originally Posted by 11rdc11 View Post
    as dwsmith said, draw a pic.

    Doing that you will notice you can switch your y limits to 0 and x over 2 and your x limits to 0 to 2
    I misread how to do it then. I apologize. It said you can evaluate in any order and still get the same answer. Anyways, how in the world would I draw this by hand? I cannot even begin to imagine what it would look like.
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    Don't worry about what is happening above in the 3d figure.

    Take the limits and connect them on the axises. Then when you change your differentials you can see how to form your bounds.
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    Quote Originally Posted by dwsmith View Post
    Don't worry about what is happening above in the 3d figure.

    Take the limits and connect them on the axises. Then when you change your differentials you can see how to form your bounds.
    Ok that actually makes this problem a lot less complicated. Thanks
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  9. #9
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by ur5pointos2slo View Post
    I misread how to do it then. I apologize. It said you can evaluate in any order and still get the same answer. Anyways, how in the world would I draw this by hand? I cannot even begin to imagine what it would look like.
    I would draw the pic for you but not sure how to do on it here. If you have any more questions feel free to ask.
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