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Mathematics 7 Online
OpenStudy (anonymous):

integrate

OpenStudy (anonymous):

1/y dx

OpenStudy (thomas5267):

Which is the question? \[ \int\frac{1}{y}dx\quad\text{(a)}\\ \int\frac{1}{x}dx \quad\text{(b)} \]

OpenStudy (jhannybean):

Did you mean \(\frac{1}{y}dy\)?

ganeshie8 (ganeshie8):

\[\int \frac{1}{y}\,dx = \frac{1}{y} \int 1 \,dx\]

OpenStudy (anonymous):

a

OpenStudy (jhannybean):

oo..

OpenStudy (anonymous):

so its x/y = c ??

OpenStudy (jhannybean):

+c *

ganeshie8 (ganeshie8):

\[\int \frac{1}{y}\,dx = \frac{1}{y} \int 1 \,dx = \frac{x}{y}+C\]

OpenStudy (jhannybean):

If you're integrating with respect to x, you treat y as a constant, therefore @ganeshie8 pulled it out of the integral.

OpenStudy (jhannybean):

integrating with respect to x means \(dx\)

OpenStudy (anonymous):

ooh so what about |dw:1421235518381:dw|

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