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Math Help - Bounds for the triple integrals!

  1. #1
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    Bounds for the triple integrals!

    Hello peeps!

    I need help with setting up the integrals. I know how to evaluate but I need help setting it up!

    1 ) The region common to the interiors of the cylinders x^2 + y^2 = 100 and x^2 + z^2 = 100. (cylindrical coordinates)

    And also problems 14 (spherical coordinates), 18 (cylindrical coordinates) in the attachment.

    please elaborate how you set up the integral on #14.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by aeubz View Post
    Hello peeps!

    I need help with setting up the integrals. I know how to evaluate but I need help setting it up!

    1 ) The region common to the interiors of the cylinders x^2 + y^2 = 100 and x^2 + z^2 = 100. (cylindrical coordinates)

    And also problems 14 (spherical coordinates), 18 (cylindrical coordinates) in the attachment.

    please elaborate how you set up the integral on #14.
    #18 : By cylindrical coordinates:

    0\leq z\leq r^2

    0\leq r\leq 10

    0\leq\vartheta\leq 2\pi

    So, your integral is \int_0^{2\pi}\int_0^{10}\int_0^{r^2}r\,dz\,dr\,d\v  artheta

    I'm sure you capable of solving this...

    --Chris
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