Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Rewrite the expression $\frac{x^2}{1+x^4}$ inside the integral in factored form
Learn how to solve problems step by step online.
$\int\frac{x^2}{\left(x^2-\sqrt{2}x+1\right)\left(x^2+\sqrt{2}x+1\right)}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/(1+x^4) from 0 to infinity. Rewrite the expression \frac{x^2}{1+x^4} inside the integral in factored form. Rewrite the fraction \frac{x^2}{\left(x^2-\sqrt{2}x+1\right)\left(x^2+\sqrt{2}x+1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x^2-\sqrt{2}x+1\right)\left(x^2+\sqrt{2}x+1\right). Multiplying polynomials.