Math Problem Statement

Evaluate the integral. (Remember the constant of integration.) 4 tan(x) sec3(x) dx

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Integrals
Substitution Method
Secant and Tangent Functions

Formulas

∫ 4 tan(x) sec^3(x) dx
Substitution: u = sec(x), du = sec(x) tan(x) dx
Integral of a power of u: ∫ u^n du = (u^(n+1))/(n+1) + C

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12 (Advanced High School Calculus or Early College)