Question: Evaluate the following integral: ∫(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) dx solve this integral

Question

Question: Evaluate the following integral: ∫(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) dx solve this integral
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Solution 1

This integral is a bit tricky, but it can be solved by using the method of polynomial division and then simple integration.

Step 1: Polynomial Division We can rewrite the integral as ∫(x^3 + 2x^2 + 3x + 4) dx / (x^4 + 4x^3 + 6x^2 + 4x + 1). Now, we can perform polynomial division on the numerator a 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.
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Question: Evaluate the following integral: ∫(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) dx solve this question correctly at any cost

(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) factorise both denominator and numerator only

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