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Introduction to Integration Techniques. We will learn five techniques of integration. They are: 0. simple antiderivatives 1. substitution 2. “by parts” 3. trig integrals 4. trig substitution 5. partial fractions. We will learn five techniques of integration. They are:
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We will learn five techniques of integration • They are: • 0. simple antiderivatives • 1. substitution • 2. “by parts” • 3. trig integrals • 4. trig substitution • 5. partial fractions
We will learn five techniques of integration • They are: • 0. simple antiderivatives • 1. substitution • 2. “by parts” • 3. trig integrals • 4. trig substitution • 5. partial fractions • 6. combinations of the above
Historical comment • Many of these techniques we owe to the German mathematicians: • Leibniz (1646-1716) • and his students, the brothers • Jacob Bernoulli (1654-1705) • Johann Bernoulli (1667-1748) • In turn, Johann taught one of the greatest mathematicians of all time: