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Factor the difference of squares $5-x^2$ as the product of two conjugated binomials
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{2}\frac{4x}{\left(\sqrt{5}+x\right)\left(\sqrt{5}-x\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (4x)/(5-x^2) from 1 to 2. Factor the difference of squares 5-x^2 as the product of two conjugated binomials. Rewrite the fraction \frac{4x}{\left(\sqrt{5}+x\right)\left(\sqrt{5}-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{5}+x\right)\left(\sqrt{5}-x\right). Multiplying polynomials.