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2. What is partial fraction theorem? Illustrate the proof of partial fraction theorem. Depict various methods used in finding the Coefficients of the Partial

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2. What is partial fraction theorem? Illustrate the proof of partial fraction theorem. Depict various methods used in finding the Coefficients of the Partial Fraction Expansion. 3. Explicate the working of Method 3: evaluate and solve equations. Give example. Make distinction between Linear Quadratic Factors and Repeated Quadratic Factors. 3x 5. Write the fractions (x-2)x-4) as sum of partial fractions and then integrate with respect to x.

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