Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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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 by partial fraction expansion problems step by step online.
$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve integrals by partial fraction expansion 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. Rewrite the fraction \frac{2x^2+3}{\left(x^{2}-1\right)^{2}} in 2 simpler fractions using partial fraction decomposition.