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Take the constant $\frac{1}{2}$ out of the integral
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{1}{2}\int\frac{x^2+2x+3}{x^3\left(x-1\right)\left(x+3\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x^2+2x+3)/(x^3(x-1)(x+3)*2))dx. Take the constant \frac{1}{2} out of the integral. Rewrite the fraction \frac{x^2+2x+3}{x^3\left(x-1\right)\left(x+3\right)} in 5 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F. The first step is to multiply both sides of the equation from the previous step by x^3\left(x-1\right)\left(x+3\right). Multiply both sides of the equality by 1 to simplify the fractions.