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The trinomial $\left(x^2-4x+4\right)$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\Delta=b^2-4ac=-4^2-4\left(1\right)\left(4\right) = 0$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/((x^2-4x+4)(x^2-4x+5)))dx. The trinomial \left(x^2-4x+4\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Rewrite the fraction \frac{1}{\left(x-2\right)^{2}\left(x^2-4x+5\right)} in 3 simpler fractions using partial fraction decomposition.