Math Problem Statement

2

1

4y2 − 2y − 12 y(y + 2)(y − 3) dy

Solution

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Math Problem Analysis

Mathematical Concepts

Integration
Partial Fraction Decomposition
Rational Functions

Formulas

Partial Fraction Decomposition Formula: \( \frac{A}{y} + \frac{B}{y + 2} + \frac{C}{y - 3} \)
Logarithmic Integration Formula: \( \int \frac{1}{x} \, dx = \ln |x| + C \)

Theorems

Partial Fraction Decomposition
Logarithmic Integration

Suitable Grade Level

Undergraduate Calculus