Math Problem Statement
∫(x^5)*(cos(x^3))
Solution
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Math Problem Analysis
Mathematical Concepts
Integration
Substitution Method
Trigonometric Integrals
Integration by Parts
Formulas
Substitution: u = x^3, du = 3x^2 dx
Integration by Parts: ∫v dw = v*w - ∫w dv
Trigonometric identity: ∫sin(u) du = -cos(u)
Theorems
Integration by Parts Theorem
Substitution in Definite Integrals
Suitable Grade Level
Undergraduate Level (Calculus I/II)
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