mony01
  • mony01
anybody know how to do this integral?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mony01
  • mony01
\[\int\limits \frac{ x ^{2} +1}{ (x-3)(x-2)^{2} }dx\]
myininaya
  • myininaya
you can try partial fractions
mony01
  • mony01
im stuck in the part where you have to find A,B, and C

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myininaya
  • myininaya
Can I see what you have so far?
mony01
  • mony01
x^2+1=A(x-2)^2+B(x-2)(x-3)+C(x-3)
myininaya
  • myininaya
You can find C pretty fast by letting x be 2
myininaya
  • myininaya
You can find A pretty fast also by letting x be 3
myininaya
  • myininaya
You have two unknown values which it leaves you with the one, B. You can replace A with whatever you found and replace C with whatever you found and then use any value for x besides 2 or 3 to find B
mony01
  • mony01
is C=-5 and A=10
myininaya
  • myininaya
yep
mony01
  • mony01
B=-9 when x=1
myininaya
  • myininaya
yep
mony01
  • mony01
when putting it all together how can i simplify -5/(x-2)^2?
myininaya
  • myininaya
You mean integrate it?
myininaya
  • myininaya
how would you integrate -5/u^2 with respect to u?
mony01
  • mony01
yea
hartnn
  • hartnn
where are you stuck now?

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