Math Problem Statement

do not round any calcualtions

Solution

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Math Problem Analysis

Mathematical Concepts

Area Under a Curve
Definite Integral
Numerical Approximation
Rectangular Approximation

Formulas

f(x) = e^{-x^2}
Area ≈ Σ f(x) * Δx (Rectangular Approximation)

Theorems

Approximation Methods
Left Riemann Sum
Right Riemann Sum

Suitable Grade Level

Grades 10-12, College Level