Integration Question

  • Thread starter Pyroadept
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  • #1
Pyroadept
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Homework Statement


Integrate the following: ∫[1/(x^2 - 2x + 4)]dx



Homework Equations


∫[1/(x^2 + a^2)]dx = [1/a](arctan(x/a)) + C


The Attempt at a Solution



Let A = x^2 - 2x + 4 = x^2 - 2x + 1 + 3
= (x - 1)^2 + (√3)^2

So ∫[1/A]dx = [1/√3]arctan[(x-1)/√3] + C

Is this correct?

Thanks for any help
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
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Looks good to me :smile:
 

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