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
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