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  1. #1
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    calculus word problem

    Find the volume created by rotating the area bounded by the curves
    y =

    x2 4x + 4 and y = x about the line x = 1.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by singh1030 View Post
    Find the volume created by rotating the area bounded by the curves
    y =
    x2 4x + 4 and y = x about the line x = 1.
    By the shell method, the volume is given by:

    V = 2 \pi \int_a^b (\mbox{radius})(\mbox{height})~dx = 2 \pi \int_a^b (1 + x)(f(x) - g(x))~dx

    here, a and b are the points of intersection of the two graphs. with a \le b. f(x) is the upper function, and g(x) is the lower function.

    can you continue?
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