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Integration Question

  • Thread starter Pyroadept
  • Start date
89
0
1. Homework Statement
Integrate the following: ∫[1/(x^2 - 2x + 4)]dx



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


3. 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
 

gabbagabbahey

Homework Helper
Gold Member
5,001
6
Looks good to me :smile:
 

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