Math Problem Statement

Evaluate all of the integrals

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Integrals
Substitution Method
Trigonometric Identities

Formulas

∫cos(x) dx = sin(x) + C
sin(2x) = 2sin(x)cos(x)
cos(2x) = cos^2(x) - sin^2(x)
sin^2(x) = (1 - cos(2x))/2
cos^2(x) = (1 + cos(2x))/2

Theorems

Trigonometric Integration
Substitution in Integration

Suitable Grade Level

Undergraduate - Calculus I/II