Math Problem Statement

integral( 4x^2 ((2/x^2 + (3/5x^4)) dx

Solution

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Math Problem Analysis

Mathematical Concepts

Integration
Algebraic Simplification
Indefinite Integrals

Formulas

Power Rule for Integration: ∫x^n dx = x^(n+1)/(n+1) + C, for n ≠ -1
Integral of x^(-n): ∫x^(-n) dx = -1/x for n = 2

Theorems

Power Rule for Integration
Linear Combination of Integrals

Suitable Grade Level

Grades 11-12