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Math Help - Method of cylindrical shells

  1. #1
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    Method of cylindrical shells

    Could anyone help me set up this integral?

    Question:
    Use the cylindrical shell method to find the volume of the solid using the region bound by these curves about the x-axis;

    y=√x , y=0 , x+y=2

    Thank you!!
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  2. #2
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    Quote Originally Posted by klooless View Post
    Could anyone help me set up this integral?

    Question:
    Use the cylindrical shell method to find the volume of the solid using the region bound by these curves about the x-axis;

    y=√x , y=0 , x+y=2

    Thank you!!
    Since you want shells about the x-axis, the integration variable is y (draw a picture). The left curve is x = y^2 and the right curve is x=2-y They intersect at (1,1). The integral is  2 \pi \int_0^1 y(\underbrace{2-y}_{right\; curve} - \underbrace{y^2}_{right\,curve})\,dy<br />
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  3. #3
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    Thank danny! I've got it!
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