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    The diagram shows the region R which lies between the line y=x and the curve y=x^3 for x>0.
    Find the volume of the solid formed when the Region R is rotated about the x-axis?
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    (Original post by calster102)
    The diagram shows the region R which lies between the line y=x and the curve y=x^3 for x>0.
    Find the volume of the solid formed when the Region R is rotated about the x-axis?
    Have you studied Solids of Revolution yet?
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    (Original post by nebelbon)
    Have you studied Solids of Revolution yet?
    Yes I don;t know how to find the other value of x to work it out tho i;ve posted a picture above btw
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    (Original post by calster102)
    Yes I don;t know how to find the other value of x to work it out tho i;ve posted a picture above btw
    The graphs meet when x^3 = x
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    (Original post by TenOfThem)
    The graphs meet when x^3 = x
    Using that what am i supposed to find because all we have is x on both sides nothing else...
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    (Original post by calster102)
    Using that what am i supposed to find because all we have is x on both sides nothing else...
    Solving that equation will tell you the x-coordinates of the points where the curve and the line intersect. You will need these for your limits of integration.
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    (Original post by davros)
    Solving that equation will tell you the x-coordinates of the points where the curve and the line intersect. You will need these for your limits of integration.
    Okay so x^3=x
    when solved gives what?? route cubed x?????
    or do you factorise x^3-x=0???
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    how exactly do you find the volume of revolution when there is 2 equations?????????????????
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    (Original post by calster102)
    Okay so x^3=x
    when solved gives what?? route cubed x?????
    or do you factorise x^3-x=0???
    You can almost see what the solutions are going to be without working anything out

    But if you're struggling, then treat it as a 'proper' equation and factorize it.
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    (Original post by calster102)
    Okay so x^3=x
    when solved gives what?? route cubed x?????
    or do you factorise x^3-x=0???
    yes

    x(x^2-1) = 0

    Will factorise further - I assume that you had the x=0
 
 
 
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