perform the partial fraction decomposition of integrate (2x ^ 2 - 1)/((4x - 1)(x ^ 2 + 1)) dx

Question

perform the partial fraction decomposition of integrate (2x ^ 2 - 1)/((4x - 1)(x ^ 2 + 1)) dx
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Solution 1

To perform the partial fraction decomposition of the integral (2x ^ 2 - 1)/((4x - 1)(x ^ 2 + 1)) dx, follow these steps:

Step 1: Set up the partial fraction decomposition. The given integral has a quadratic term in the denominator, so we set it up as follows:

(2x^2 - 1)/((4x - 1)(x^2 + 1)) = A/(4x 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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