Math Problem Statement
integral(-3x^3+6x^2-10x+5)/(x^4-x^3) by using partial fraction
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Partial Fraction Decomposition
Polynomial Division
Formulas
Partial fraction decomposition formula: A/x + B/x^2 + C/x^3 + D/(x-1)
Integral formulas: ∫1/x dx = ln|x|, ∫1/x^2 dx = -1/x, ∫1/x^3 dx = -1/2x^2, ∫1/(x-1) dx = ln|x-1|
Theorems
Fundamental Theorem of Calculus
Partial Fraction Decomposition Theorem
Suitable Grade Level
College-level Calculus
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