1.3 The Fundamental Theorem of Calculus
LEARNING OBJECTIVES 1.3 The Fundamental Theorem of Calculus
1.3.1 Describe the meaning of the Mean Value Theorem for Integrals.
1.3.2 State the meaning of the Fundamental Theorem of Calculus, Part 1.
1.3.3 Use the Fundamental Theorem of Calculus, Part 1, to evaluate derivatives of integrals.
1.3.4 State the meaning of the Fundamental Theorem of Calculus, Part 2.
1.3.5 Use the Fundamental Theorem of Calculus, Part 2, to evaluate definite integrals.
1.3.6 Explain the relationship between differentiation and integration.
VIEW 1.3 The Fundamental Theorem of Calculus
Note* The videos below state parts I and II of the fundamental theorem of calculus in the opposite order of the Openstax textbook.
- The Fundamental Theorem of Calculus
- Proof of the Fundamental Theorem of Calculus (Part 2)
- The Second Fundamental Theorem of Calculus
- Proof of the Fundamental Theorem of Calculus (Part 1)
- Ex 1: The Second Fundamental Theorem of Calculus
- Ex 2: The Second Fundamental Theorem of Calculus (Reverse Order)
- Ex 3: The Second Fundamental Theorem of Calculus
- Ex 4: The Second Fundamental Theorem of Calculus with Chain Rule
- Ex 5: The Second Fundamental Theorem of Calculus with Chain Rule
- Ex 6: Second Fundamental Theorem of Calculus with Chain Rule
- Ex 7: Second Fundamental Theorem of Calculus with Chain Rule
- Ex: Evaluate a Definite Integral and the Derivative of an Integral Using a Graph
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