Math Problem Statement
integral(0topi)cos^2xsin(2x)dx
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometric Identities
Definite Integration
Substitution Method
Properties of Odd and Even Functions
Formulas
sin(2x) = 2sin(x)cos(x)
Substitution: u = cos(x), du = -sin(x) dx
Integral of u^3: ∫u^3 du = u^4/4
Theorems
Properties of Odd Functions (integral from -a to a is 0)
Basic Definite Integral Theorem
Suitable Grade Level
Grades 11-12 (Advanced High School Calculus)