130Lec5-6 Integration by Substitution.pdf - 5.6 Integration by Substitution Derivative = \u2032 = \u2032 = \u2032 Differential Ex Find the differential 1 = 2 3

130Lec5-6 Integration by Substitution.pdf - 5.6 Integration...

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5.6 Integration by Substitution Derivative: ?? ?𝑥 = ?′ ?? = ? ?𝑥 ( ?? and ?𝑥 are called differentials) Differential ?? : ?? = ? (𝑥)?𝑥 Ex) Find the differential ?? . ??.
. ?? . 3
Substitution Formulas 1. ∫ ? 𝑛 ?? = 1 𝑛 + 1 ? 𝑛+1 + 𝐶 2. ∫ ? ? ?? = ? ? + 𝐶 3. ?? ? = 1 ? ?? = ∫ ? −1 ?? = ln|?| + 𝐶 Ex) Find each integral using substitution. (Page 374)

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