Rewrite the expression $\frac{2x^2+3}{x^3-2x^2-x}$ inside the integral in factored form
$\int\frac{2x^2+3}{x\left(x^2-2x-1\right)}dx$
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$\int\frac{2x^2+3}{x\left(x^2-2x-1\right)}dx$
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Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((2x^2+3)/(x^3-2x^2-x))dx. Rewrite the expression \frac{2x^2+3}{x^3-2x^2-x} inside the integral in factored form. Rewrite the fraction \frac{2x^2+3}{x\left(x^2-2x-1\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 x\left(x^2-2x-1\right). Multiplying polynomials.
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.