megski312
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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primeralph
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|dw:1367719248961:dw|
megski312
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Am I taking the antiderivative from here? or what
primeralph
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yeah
megski312
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would that be 4 ln x?
primeralph
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My diagram says square 4/x
megski312
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-4/x?
primeralph
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|dw:1367719589813:dw|
megski312
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did you square the numerator and denominator separately?
primeralph
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yes
megski312
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oh haha I didn't realize that was legal in the math world. stupid me
primeralph
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huh? that's basic math
megski312
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sometimes I forget those rules. I got 3pi/16 for the answer
primeralph
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nope
primeralph
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|dw:1367719834362:dw|
megski312
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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
primeralph
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that should be your integral
megski312
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|dw:1367720116352:dw|
primeralph
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do you know how to integrate?
megski312
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idk haha that's what I did with the last problem and it was right