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The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
Learn how to solve integrals by partial fraction expansion problems step by step online.
$2\int\frac{1}{-2+x^2}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(2/(x^2-2))dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Factor the difference of squares -2+x^2 as the product of two conjugated binomials. Rewrite the fraction \frac{1}{\left(\sqrt{2}+x\right)\left(-\sqrt{2}+x\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(\sqrt{2}+x\right)\left(-\sqrt{2}+x\right).