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Calculus1 11 Online
OpenStudy (anonymous):

integral 1/cy-1 dy

OpenStudy (anonymous):

\[\int\limits \frac{1}{cy-1}dy\]

OpenStudy (anonymous):

with c being a constant

OpenStudy (anonymous):

i would think the answer is: ln(cy-1) , but it's not

OpenStudy (unklerhaukus):

+C

OpenStudy (anonymous):

still wrong

OpenStudy (anonymous):

answer should be: 1/c . ln(cy-1)

OpenStudy (anonymous):

for some reason..

OpenStudy (unklerhaukus):

\[\int\limits \frac1{cy-1}\,\mathrm dy\\=\frac1c\int\frac1{y-1/c}\,\mathrm dy\\ =\frac1c\log{(y-1/c)}+C\]

OpenStudy (anonymous):

no, don't think that's right checked wolframalpha

OpenStudy (anonymous):

nevermind, figured it out

OpenStudy (anonymous):

used substitution

OpenStudy (unklerhaukus):

\[\int\limits \frac1{cy-1}\,\mathrm dy\\=\frac1c\int\frac c{cy-1}\,\mathrm dy\\ =\frac1c\log{(cy-1)}+C\] its the same thing

OpenStudy (unklerhaukus):

what did you get ?

OpenStudy (anonymous):

the same

OpenStudy (anonymous):

used u= cy-1, etc..

OpenStudy (anonymous):

got 1/c * ln(cy-1)

OpenStudy (anonymous):

thanks

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