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