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Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(x/((x^2-1)(x-2)))dx. Rewrite the fraction \frac{x}{\left(x^2-1\right)\left(x-2\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x^2-1\right)\left(x-2\right). Multiplying polynomials. Simplifying.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
The partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.