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Can i solve using partial fractions?

  • Thread starter johann1301
  • Start date
  • #1
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Homework Statement



∫(x+1)/(x2+2x+3)dx

The Attempt at a Solution



This problem was under partial fractions in my book. I solved it using u-substitution where u=x2+2x+3, but i can't see how it can be solved using partial fractions?

can it?
 

Answers and Replies

  • #2
SteamKing
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Yeah, you could, but it's a lot of extra work.

Hint: Complete the square in the denominator.
 
  • #3
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(x^2+2x+3)=(x+3)(x+1)?
 
  • #4
217
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no, i see thats not right..
 
  • #5
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I get that (x^2+2x+3) = (-1-√2i)(-1+√2i).
 
  • #6
217
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but their complex... will this work?
 
  • #7
217
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sorry, (x^2+2x+3) = (x+1+√2i)(x+1-√2i).
 
  • #8
SteamKing
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