Integration Logs - Math Help Forum

$Old$ September 18th, 2007, 04:15 PM

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$Default$ Integration Logs

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$Old$ September 18th, 2007, 04:18 PM

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Use the change of base property and make a simple substitution.

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$Old$ September 18th, 2007, 04:21 PM

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Thanks but

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$Old$ September 18th, 2007, 04:24 PM

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Nope, I mean you use $\log_{10}x=\frac{\ln x}{\ln10}$

The denominator is a constant and you only have to integrate $\frac{\ln x}x$

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$Old$ September 18th, 2007, 04:35 PM

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If there is a third row of division, could I bring it up to the second?

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$Old$ September 18th, 2007, 04:39 PM

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You mean for example $\frac{\dfrac ab}c$ ?

It's the same if we write $\frac ab:c$ , then you make a cross product.

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$Old$ September 18th, 2007, 04:42 PM

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$Old$ September 18th, 2007, 04:46 PM

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If we have

$x=\frac{\dfrac ab}c=\frac a{bc}$

but be careful, if we have

$x=\frac a{\dfrac bc}=\frac{ac}b$

It depends.

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