Math Problem Statement

For questions 3, 4, and 5, you will use b  =  2. Enter the value of M6, correct to 3 decimals, into the answer box below.

Solution

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Math Problem Analysis

Mathematical Concepts

Numerical Integration
Riemann Sum
Midpoint Approximation
Exponentials

Formulas

Midpoint Riemann Sum M_n = sum(f(x_mid_i) * delta_x) for i = 0 to n - 1
delta_x = (b - a) / n
f(x) = e^{-x^3}

Theorems

Fundamental Theorem of Calculus (applied in approximating integrals)

Suitable Grade Level

College-level Calculus or Advanced High School Calculus