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Mathematics 21 Online
OpenStudy (anonymous):

integration problem, please help :)

OpenStudy (anonymous):

\[\int\limits_{}^{}\frac{ 1 }{ (1-6x)^4 }\]

OpenStudy (anonymous):

whoops, forgot to write dx afterwards

zepdrix (zepdrix):

U subbbbbbb \:D/ \(\large u=1-6x\) Taking the derivative of U with respect to X gives ussssssssss, \(\large du=-6dx\) right? Hmmm but we don't have a -6 in our problem here... maybe we can fix that. Divide both sides by -6 giving us, \(\large -\frac{1}{6}du=dx\).

zepdrix (zepdrix):

|dw:1358220063057:dw|\[\large \int\limits \frac{1}{u^4}\left(-\frac{1}{6}du\right)\]Understand how we did that? :O

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