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Math Help - Finding the Volumes

  1. #1
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    Finding the Volumes

    1) Find the volume generated when the region is rotated around the x-axis:
    -The region below the graph of y=sec(x) on [0,1/4(the pi symbol)].

    -The region below the graph of y=(1-x^2)^1/2 on [-1,1].

    I'm not sure where to start with these problems, so any help will be much appreciated. Thank you.

    -M
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by blurain View Post
    1) Find the volume generated when the region is rotated around the x-axis:
    -The region below the graph of y=sec(x) on [0,1/4(the pi symbol)].

    -The region below the graph of y=(1-x^2)^1/2 on [-1,1].

    I'm not sure where to start with these problems, so any help will be much appreciated. Thank you.

    -M
    use the disk method.

    The volume obtained by rotating a function f(x) about the x-axis between the limits of x = a and x = b, where a \le b, is given by:

    V = \pi \int_a^b [f(x)]^2~dx
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