anonymous
  • anonymous
Evaluate the definite integral 4 ∫ 1/(x^2-6x+10) dx 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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NoelGreco
  • NoelGreco
Complete the square for the quadratic in the denominator.
anonymous
  • anonymous
This is an ideal situation for using partial fractions. Have you used the partial fractions method for integrating before?
anonymous
  • anonymous
@genius12, the denominator doesn't factor nicely though

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anonymous
  • anonymous
i dont think so
anonymous
  • anonymous
denominator does not factor over integers, i would complete the square i think
anonymous
  • anonymous
just noticed that lol. @SithsAndGiggles
anonymous
  • anonymous
@shyllat, \[\begin{align*}x^2-6x+10&=x^2-6x+9+1\\ &=(x-3)^2+1 \end{align*}\] \[\int_2^4\frac{1}{(x-3)^2+1}~dx\] Familiar with trig substitution?
anonymous
  • anonymous
ohhh ok yah i got it from here thank you!!

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