Math Problem Statement
Integrate (x^3-2x^2+2x-7)/(x^2-2x-3) dx
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Polynomial Long Division
Partial Fraction Decomposition
Formulas
Polynomial Long Division: Divide numerator by denominator when degree of numerator is higher
Partial Fraction Decomposition: A/(x - a) + B/(x - b) for factored denominators
Theorems
Fundamental Theorem of Calculus: Integration as the reverse process of differentiation
Partial Fraction Decomposition for Rational Functions
Suitable Grade Level
Undergraduate Calculus or AP Calculus
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