Math Problem Statement
Integration x/(x-1)(x^2+1)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Integration
Partial Fraction Decomposition
Logarithmic Integration
Arctangent Integration
Formulas
∫ x / ((x - 1)(x^2 + 1)) dx
Partial fraction decomposition: x / ((x - 1)(x^2 + 1)) = A / (x - 1) + (Bx + C) / (x^2 + 1)
Logarithmic integration: ∫ 1/u du = ln|u|
Arctangent integration: ∫ 1/(x^2 + 1) dx = arctan(x)
Theorems
Partial Fraction Decomposition
Suitable Grade Level
Undergraduate Calculus
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