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Mathematics 21 Online
OpenStudy (anonymous):

need help on this question, ill post down

OpenStudy (anonymous):

\[\int\limits_{}dx/(x+4)^{3}\]

OpenStudy (anonymous):

in that one, i took u = (X + 4) and du=dx so that it been that : \[ \int\limits_{}(1/u^{3}) * du\]

OpenStudy (anonymous):

then its : \[1/(x+4)^{2} + C\]

OpenStudy (anonymous):

true?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

u are missing a factor of (-1/2)

OpenStudy (anonymous):

No, not exactly. Someone else can correct me if I'm wrong, but remember that \[\int\limits x^r dx => r+1 = c => x^c/c\] Sorry, crude expression of the rule, but... Now also notice that in \[\int\limits (1/u^3) du\] 1/u^3 can be written as u^-3. Try integrating that term instead, and you should get \[(u^-2)/-2 + C = 1/-2u^2 + C = 1/-2(x+4)^2 +C\] Anyone have a better answer, or is this correct?

OpenStudy (anonymous):

Make sense, Korcan?

OpenStudy (anonymous):

this correct tangent

OpenStudy (anonymous):

Eh?

OpenStudy (anonymous):

i said i agree with ur answer - it is correct

OpenStudy (anonymous):

Ah OK. Thanks for clarifying.

OpenStudy (anonymous):

it is usually written -1 /2(x+4)^2 but ur answer is perfectly correct

OpenStudy (anonymous):

thanks :D

OpenStudy (anonymous):

No problem, and again thanks for seconding that, Jimmy.

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