Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Partial Fraction Decomposition
Factorization
Logarithmic Integration

Formulas

Partial fraction decomposition formula
Integral of 1/(x - a) = ln|x - a|
Integral of 1/(x - a)^2 = -1/(x - a)

Theorems

Difference of squares (x^2 - 4 = (x - 2)(x + 2))
Properties of definite and indefinite integrals

Suitable Grade Level

Undergraduate Calculus