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Differential Equations: Derivative and Integral Review
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Reviews differentiation and several methods for integration, such as basic substitution, trig substitution, trig identities, integration by parts using a table, and partial fraction decomposition.
0:00 Introduction
0:14 Page 1 Basic derivative formulas
3:09 Page 2 Chain rule formulas part 1
7:11 Page 3 Chain rule formulas part 2
8:44 Page 4 Product and quotient rules
11:20 Page 5 Finding the equation of a tangent line
14:09 Page 6 Basic integral formulas
17:29 Page 7 Basic substitution
21:01 Page 8 Table method for integration by parts example 1
27:26 Page 9 Table method for integration by parts example 2
29:55 Page 10 Table method for integration by parts example 3
32:09 Page 11 Strategies for integrating exponential functions
33:46 Page 12 More basic integral formulas
37:18 Page 13 Useful trig identities
38:09 Page 14 Integrating powers of sine
42:06 Page 15 Trig substitution strategies
48:17 Page 16 Integration by partial fraction decomposition example 1
52:37 Page 17 Integration by partial fraction decomposition example 2
56:20 Page 18 Finding a function given its derivative and one point
0:00 Introduction
0:14 Page 1 Basic derivative formulas
3:09 Page 2 Chain rule formulas part 1
7:11 Page 3 Chain rule formulas part 2
8:44 Page 4 Product and quotient rules
11:20 Page 5 Finding the equation of a tangent line
14:09 Page 6 Basic integral formulas
17:29 Page 7 Basic substitution
21:01 Page 8 Table method for integration by parts example 1
27:26 Page 9 Table method for integration by parts example 2
29:55 Page 10 Table method for integration by parts example 3
32:09 Page 11 Strategies for integrating exponential functions
33:46 Page 12 More basic integral formulas
37:18 Page 13 Useful trig identities
38:09 Page 14 Integrating powers of sine
42:06 Page 15 Trig substitution strategies
48:17 Page 16 Integration by partial fraction decomposition example 1
52:37 Page 17 Integration by partial fraction decomposition example 2
56:20 Page 18 Finding a function given its derivative and one point
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