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The trinomial $x^4-2x^2+1$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve integrals of rational functions problems step by step online.
$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x^2+3)/(x^4-2x^2+1))dx. The trinomial x^4-2x^2+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. We can solve the integral \int\frac{2x^2+3}{\left(x^{2}-1\right)^{2}}dx by applying integration method of trigonometric substitution using the substitution.