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Integrate in a Day
Defining the Integral (Optional)
Antiderivatives (7:42)
Antiderivatives and Integration (10:10)
The Power Rule & Other Key Techniques
Notation for Integration (12:19)
The Power Rule (14:39)
Integratable Form (10:40)
Integrating the Sine and Cosine Functions (8:46)
Indefinite and Definite Integrals (6:46)
Evaluating Definite Integrals (13:33)
Practice Questions
The Reverse Chain Rule & Advanced Techniques
Integration by U-Substitution (18:09)
The Reverse Chain Rule (11:06)
Integration by Parts (17:59)
Integration by Parts for Definite Integrals (14:49)
Integration using Partial Fractions (19:03)
Improper Integrals (4:56)
Evaluating Improper Integrals (50:56)
Practice Questions
Application of Integrals
Finding the Area Under a Curve (16:51)
Finding the Area Between Two Curves (18:59)
Volumes of Revolution Around the X-Axis (11:57)
Volumes of Revolution Around the Y-Axis (16:44)
Arc Length Using Integration (9:09)
Evaluating Arc Length Using Integration (19:56)
Practice Questions
Additional Resources
Formula List
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Formula List
Formula list for the Integrate in a Day course.
Integration Formula List.pdf
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