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Mathematics 20 Online
OpenStudy (anonymous):

find the following integral...

OpenStudy (anonymous):

\[\int\limits_{}^{}(8x-3\div12x^8) dx\]

OpenStudy (lalaly):

\[\int\limits{\frac{8x-3}{12x^8}dx}?\]

OpenStudy (anonymous):

yes but i made a mistake 12x^6

OpenStudy (mr.math):

Split up the fraction and it will be very easy.

OpenStudy (lalaly):

\[\int\limits{\frac{8x}{12x^6}dx}- \int\limits{\frac{3}{12x^6}dx}\]

OpenStudy (anonymous):

ok, so what would i do next? sorry, I'm new.

OpenStudy (cwrw238):

i think you can then integrate by writing the two parts as negative exponent

OpenStudy (cwrw238):

= INT (2/3) x ^-5dx - INT(1/4) x^-6 dx

hero (hero):

simplify it further

OpenStudy (anonymous):

yeah, i got to that but how would you simplify further than that?

hero (hero):

lalaly should have finished posting her steps

hero (hero):

You have to move the numerical fractions outside the integral because they are constants

hero (hero):

|dw:1326315737577:dw|

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