cherrilyn
  • cherrilyn
evaluate the integral
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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cherrilyn
  • cherrilyn
\[\int\limits_{?}^{?}(x ^{2}-x+1) dx/ x ^{2}-x\]
anonymous
  • anonymous
You have to give us a hint. Which part of the book are you at?
cherrilyn
  • cherrilyn
hehe. partial functions

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anonymous
  • anonymous
\[LHS =A/(X-1) +B(x+1)\]
anonymous
  • anonymous
B/(x+1)
cherrilyn
  • cherrilyn
umm.... wouldn't it be Ax+B/x^2+x? or are you skipping steps
anonymous
  • anonymous
Oh, I haven't done these in a while, may be you should start it.
anonymous
  • anonymous
Oh, the bottom is not the difference of two squares, I misread it.
cherrilyn
  • cherrilyn
can you only use long division if the denominator is the difference of two squares?
anonymous
  • anonymous
\[LHS =A/x + B/(x-1)\]
cherrilyn
  • cherrilyn
are you sure?
anonymous
  • anonymous
\[x ^{2}-x=x(x-1)\]
cherrilyn
  • cherrilyn
okay so what should I do next
anonymous
  • anonymous
You can handle it now. It is cut up in small bites that you can chew on.
cherrilyn
  • cherrilyn
I got A = -1 and B =1 but when I find the integral my denominator = 0 :/
anonymous
  • anonymous
what , just equals -ln(x) +ln(x-1) +C
anonymous
  • anonymous
can be simplifed as ln [ (x-1)/(x) ] +C

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