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Factor the difference of squares $16x^4-1$ as the product of two conjugated binomials
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{1}{\left(4x^{2}+1\right)\left(4x^{2}-1\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(16x^4-1))dx. Factor the difference of squares 16x^4-1 as the product of two conjugated binomials. Factor the difference of squares \left(4x^{2}-1\right) as the product of two conjugated binomials. Rewrite the fraction \frac{1}{\left(4x^{2}+1\right)\left(2x+1\right)\left(2x-1\right)} in 3 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(4x^{2}+1\right)\left(2x+1\right)\left(2x-1\right).