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Rewrite the expression $\frac{2x}{x^4+1}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{2x}{\left(x^2-\sqrt{2}x+1\right)\left(x^2+\sqrt{2}x+1\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((2x)/(x^4+1))dx. Rewrite the expression \frac{2x}{x^4+1} inside the integral in factored form. Take out the constant 2 from the integral. Rewrite the fraction \frac{x}{\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).