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Math Help - volumes of revolutions

  1. #1
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    volumes of revolutions

    how can I solve such questions:

    The region in the first quadrant is bounded by the y-axis, the line y=x and the curve . Calculate the volume formed when R is rotated about the y-axis through 1 revolution
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  2. #2
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    using the method of cylindrical shells ...

    V = 2\pi \int_0^1 x[(2-x^2)-x] \, dx
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