Gr I bracketed it wrong the second time, should've been 2(x)1/2. |
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Gr I bracketed it wrong the second time, should've been 2(x)1/2. |
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Could somebody please try and integrate lnx/x by parts, using dv/dx=lnx, u=x-1? |
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Yes. |
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Well, I tried it briefly and got something of the form "I = I + stuff", where I is the answer. |
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Yes, I know. And it's even simpler via the chain rule because clearly the integral is of a product of a function and its deriviative. But when ever I do it setting dv = lnxdx I get I = I + stuff which reduces to 0 = -1 and I can't seem to find the mistake. |
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S1/x*lnxdx = 1/x(xlnx -x) +S1/x^2*(xlnx -x)dx |
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Last edited by wendylove; 02-17-2009 at 09:00 PM.
Xaqaria
The planet Earth exhibits all of these properties and therefore can be considered alive and its own single organism by the scientific definition.does the planet Earth reproduce, well no unless you count the moon.7. Reproduction: The ability to produce new organisms.
Yeah that's what I did above? |
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∫ (1/x^2)(xlnx - x) dx = ∫ (lnx - 1)/x dx, not lnx/x. |
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I can't seem to get the right anwser too. I might have to get paper out. |
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Last edited by wendylove; 02-17-2009 at 09:14 PM.
Xaqaria
The planet Earth exhibits all of these properties and therefore can be considered alive and its own single organism by the scientific definition.does the planet Earth reproduce, well no unless you count the moon.7. Reproduction: The ability to produce new organisms.
Old STEP paper. |
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Did you take into account the absolute value in the logarithm? You may have implicitly logged a negative number, and then that reared its head in the form of a logical impossibility later on. |
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Ah... I think you might have it. |
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Okay nice question I found today: |
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Xaqaria
The planet Earth exhibits all of these properties and therefore can be considered alive and its own single organism by the scientific definition.does the planet Earth reproduce, well no unless you count the moon.7. Reproduction: The ability to produce new organisms.
I think the only FP bit you would need is recognising the arctan integral, which I think is FP2... I haven't done FP2 yet but it's easy enough to work out. |
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I disagree. If you look at Cambridge it is still just Private school boys doing the Maths degree. |
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Xaqaria
The planet Earth exhibits all of these properties and therefore can be considered alive and its own single organism by the scientific definition.does the planet Earth reproduce, well no unless you count the moon.7. Reproduction: The ability to produce new organisms.
They take a number of private schooled people which is in proportion to the total amount of applicants they recieve. If state schools weren't so crap or actually encouraged their students to apply more, it wouldn't be the case. |
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It's funny listening to you guys talk about math programs as if it actually makes a difference where you learn math. |
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