Math Problem Statement

f(x) = 4x(1-x^2), x = [0,1]. what is the mean

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Integration
Mean of a Function

Formulas

Mean value of a function: (1 / (b - a)) ∫[a,b] f(x) dx
Integral of polynomial functions

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12