Integral of (2x^3−4x^2−4x+3)/(x^2−2x−3): Step-by-Step Solution

Math Problem Statement

Compute the following integral. ∫2x^3−4x^2−4x+3/x^2−2x−3dx= Preview Change entry mode + C. FORMATTING: In Mobius, |a| is written "abs(a)". FORMATTING: Do not include the constant of integration in your response. It is already written for you.

Solution

To compute the integral

[ \int \frac{2x^3 - 4x^2 - 4x + 3

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Math Problem Analysis

Mathematical Concepts

Integration
Polynomial Division
Partial Fractions

Formulas

Polynomial long division to simplify rational functions
Integration of partial fraction decompositions

Theorems

Fundamental Theorem of Calculus
Partial Fraction Decomposition Theorem

Suitable Grade Level

Grades 11-12

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