anonymous
  • anonymous
INTEGRAL CALCULUS -Integral of logarithmic functions "Evaluate this integral of (x+3)dx/x+2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I think you'll have to use long division first since both sides have the same power. The numerator's power must be < the denominator's power. :)
anonymous
  • anonymous
can u answer it? i want to compare my answer.. please?
anonymous
  • anonymous
alright, did you do the long division part?

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anonymous
  • anonymous
I got this after diving x+3 / x+2 : 1 + 1/x+2
anonymous
  • anonymous
dividing*
anonymous
  • anonymous
is this what you've got?
anonymous
  • anonymous
my answer x+ln(x+2)+c is this correct?
anonymous
  • anonymous
hold on , let me finish :)
anonymous
  • anonymous
yes, excellent :)
anonymous
  • anonymous
here another example can u answer this
anonymous
  • anonymous
sure, I'll give it a try ^_^
anonymous
  • anonymous
integral of xdx/x^2+4
anonymous
  • anonymous
you can expand the denominator and you'll get the following:\[x/(x^2+4) = x/(x+2)^2\] then you'll have to do the partial fractions part which is : \[x/(x+2)^2 = A/(x+2) + B/(x+2)^2\]....etc correct me if I'm wrong
anonymous
  • anonymous
you know how to integrate partial fractions, right? :)
anonymous
  • anonymous
wers the answer?
anonymous
  • anonymous
i dont know
anonymous
  • anonymous
lol, I have hinted the way for you for you to proceed ^_^
anonymous
  • anonymous
yes you know :) haven't you taken partial fractions?
anonymous
  • anonymous
oh wait
anonymous
  • anonymous
ther's a much simpler way to do it :) hold on no need for partial fractions here
anonymous
  • anonymous
ur answer? i want to compare my answer
anonymous
  • anonymous
\[\int\limits_{} x/(x^2+4) dx\] let : \[u = x^2 +4\] \[du = 2x dx\] so : \[= 1/2 \int\limits_{} 1/u du\] \[= 1/2(\ln |u|) + c\] \[=[ \ln|x^2+4|] /2 + c\] sorry abt the complicated mess earlier ^_^
anonymous
  • anonymous
is this what you've got?
anonymous
  • anonymous
1/2ln(X^2+4)+C
anonymous
  • anonymous
yes, well done ^_^
anonymous
  • anonymous
i wish you can transfer your knowledge in calculus to me
anonymous
  • anonymous
lol, I was so ignorant in it, but then worked hard to understand it. I took this in the beginning of the semester :), just be patient and practice more then you'll master it ^_^
anonymous
  • anonymous
do you have facebook i wish we can talk together to practice my enlish
anonymous
  • anonymous
english
anonymous
  • anonymous
Unfortunately, I don't have FB, myspace or any of these stuff since I don't have time for them :( , I'm sorry.
anonymous
  • anonymous
To perfect your english, read more, listen more and communicate more :) that's it
anonymous
  • anonymous
tnx
anonymous
  • anonymous
np :)

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