Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the expression $\frac{1+x^2}{x^4+1}$ inside the integral in factored form
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$\int\frac{1+x^2}{\left(x^2-\sqrt[4]{4}x+1\right)\left(x^2+\sqrt[4]{4}x+1\right)}dx$
Learn how to solve problems step by step online. Find the integral int((1+x^2)/(x^4+1))dx. Rewrite the expression \frac{1+x^2}{x^4+1} inside the integral in factored form. Rewrite the fraction \frac{1+x^2}{\left(x^2-\sqrt[4]{4}x+1\right)\left(x^2+\sqrt[4]{4}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[4]{4}x+1\right)\left(x^2+\sqrt[4]{4}x+1\right). Multiplying polynomials.