Math Problem Statement

Integrate 2/x^2-1

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Integration
Partial Fraction Decomposition
Logarithmic Integration

Formulas

Partial fraction decomposition: \( \frac{2}{x^2 - 1} = \frac{1}{x - 1} - \frac{1}{x + 1} \)
Logarithmic integration: \( \int \frac{1}{x} \, dx = \ln |x| + C \)

Theorems

Fundamental Theorem of Calculus
Properties of Logarithms

Suitable Grade Level

Undergraduate Calculus or Advanced High School (Grades 11-12)