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Mathematics 10 Online
OpenStudy (darkigloo):

Integration Help...

OpenStudy (darkigloo):

\[\int\limits_{1}^{2} \frac{ x-4 }{ x ^{2}} dx\] I got ln2+2 as my answer but the correct answer is ln2-2

sam (.sam.):

I think you did a mistake when substituting in 2 and 1

sam (.sam.):

\[\Large [\ln(x)+\frac{4}{x}]^{2}_{1}\] \[=\ln(2)+2-4\]

OpenStudy (darkigloo):

ohh i did -4/x can you show me how you got that?

sam (.sam.):

\[\Large [\ln(x)+\frac{4}{x}]^{2}_{1}\] \[\Large [\ln(2)+\frac{4}{2}]-[\ln(1)+\frac{4}{1}]\] \[=\ln(2)+2−4\]

sam (.sam.):

\[\int\limits\limits_{1}^{2} \frac{ x-4 }{ x ^{2}} dx\] \[\int\limits\limits_{1}^{2} \frac{1}{x}-\frac{4}{x^2} dx\] Integrate using power rule you get \[[\ln(x)+\frac{4}{x}]^{2}_{1}\]

OpenStudy (darkigloo):

ahh i see! thank you :)

sam (.sam.):

yw

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