Join the QuestionCove community and study together with friends!
Sign Up
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
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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.