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Unit 9: Integration
Unit Outline:
9.1: Area under a curve
Course Reader:
Essence of calculus - Introduction(3Blue1Brown):
Integration and the fundamental theorem of calculus (3Blue1Brown):
Why do integrals always have a dx? (Krista King):
Average value of a function over a closed interval (Khan Academy):
9.2: Approximate integration
Course Reader:
Approximating area under curve and sigma notation (Khan Academy):
9.3: Indefinite integrals
Course Reader:
Antiderivatives and indefinite integrals (Khan Academy):
The Indefinite Integral or Anti-derivative (Khan Academy):
9.4: Explicit integration methods
Course Reader:
Basic Integration... How? (mathbff):
How to Integrate Using U-Substitution (mathbff):
Integration by Parts... How? (mathbff):
Partial fraction expansion to evaluate integral (Khan Academy):
9.5: Volume integrals
Course Reader:
What does a double integral represent? (Krista King):
Double integrals to find the volume of the solid (Krista King):
Converting double integrals to polar coordinates (Krista King):
9.6: Improper integrals
Course Reader:
Improper Integral - Basic Idea and Example (PatrickJMT):