Question: need help with these problems 1,2,3 On problems involving Partial Fraction Decomposition, justify that the rational function is in the form where the Partial Fraction

need help with these problems 1,2,3

On problems involving Partial Fraction Decomposition, justify that the rational function is in the form where the Partial Fraction Decomposition is assured to work. Clearly explain. 1. Set up the FORM of the Partial Fraction Decomposition for x2 - 3x then stop. x -x (x2 + 2x + 2 ) ( x - 1 ) 2 2. Find the Partial Fractions Decomposition of x3 - 2x2 + 4x +4 (4 -4x3 +6x2 - 8x+8 Show all your work! 3. Evaluate X X -X-1 x3 - x2 dx . Show all your work

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