Math Problem Statement

I = \int (x³ sin(x)+ \frac{4}{x^2}e^2x) cos(x²) dx

Solution

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Math Problem Analysis

Mathematical Concepts

Integration
Trigonometric Functions
Exponential Functions
Numerical Integration

Formulas

Integration by Parts
Series Expansion
Numerical Methods for Integration

Theorems

Fundamental Theorem of Calculus
Special Functions in Complex Integrals

Suitable Grade Level

University Level - Calculus II or III