Math  /  Calculus

Question5. Find x2x24x+1dx\int \frac{x-2}{x^{2}-4 x+1} d x

Studdy Solution
Back-substitute u=x24x+1 u = x^2 - 4x + 1 to express the solution in terms of x x :
12lnx24x+1+C \frac{1}{2} \ln |x^2 - 4x + 1| + C
The solution to the integral is:
12lnx24x+1+C \boxed{\frac{1}{2} \ln |x^2 - 4x + 1| + C}

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