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megski312

  • 2 years ago

Find the volume V of this solid that is rotating the region bounded by the given curves about the x-axis: y=4/x y=0 x=8 x=16. So far I have the integral pi (4/x)^2 - (0)^2 dx. Do I foil 4/x from here? If so, how do I go about doing that? In other problems I've done, that's what I've done from here. Or do I take the antiderivative for the next step?

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  1. primeralph
    • 2 years ago
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    |dw:1367719248961:dw|

  2. megski312
    • 2 years ago
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    Am I taking the antiderivative from here? or what

  3. primeralph
    • 2 years ago
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    yeah

  4. megski312
    • 2 years ago
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    would that be 4 ln x?

  5. primeralph
    • 2 years ago
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    My diagram says square 4/x

  6. megski312
    • 2 years ago
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    -4/x?

  7. primeralph
    • 2 years ago
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    |dw:1367719589813:dw|

  8. megski312
    • 2 years ago
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    did you square the numerator and denominator separately?

  9. primeralph
    • 2 years ago
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    yes

  10. megski312
    • 2 years ago
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    oh haha I didn't realize that was legal in the math world. stupid me

  11. primeralph
    • 2 years ago
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    huh? that's basic math

  12. megski312
    • 2 years ago
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    sometimes I forget those rules. I got 3pi/16 for the answer

  13. primeralph
    • 2 years ago
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    nope

  14. primeralph
    • 2 years ago
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    |dw:1367719834362:dw|

  15. megski312
    • 2 years ago
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    I put 16 in for x and then squared that and divided by 16. and subtracted that and what I got for doing the same for 8

  16. primeralph
    • 2 years ago
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    that should be your integral

  17. megski312
    • 2 years ago
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    |dw:1367720116352:dw|

  18. primeralph
    • 2 years ago
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    do you know how to integrate?

  19. megski312
    • 2 years ago
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    idk haha that's what I did with the last problem and it was right

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