perform the partial fraction decomposition of Integrate (2x ^ 2 + 3)/(x * (x - 1) ^ 2) dx

Question

perform the partial fraction decomposition of Integrate (2x ^ 2 + 3)/(x * (x - 1) ^ 2) dx
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Solution 1

To perform the partial fraction decomposition of the integral ∫(2x^2 + 3)/(x*(x - 1)^2) dx, we first express the integrand as a sum of simpler fractions:

(2x^2 + 3)/(x*(x - 1)^2) = A/x + B/(x - 1) + C/(x - 1)^2

We then multiply through by the common denominator to clear the fractions:

2x^2 + 3 = Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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