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K12MATH013: Calculus AB

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  • Unit 3: Integrals

    Integrals are the final unit in this course. In a similar way to derivatives, you will approach integrals first by learning their formal definition, then by learning techniques by which to compute them, and then lastly learning about their applications. In this unit, you will also learn the FTC (fundamental theorem of calculus), learn to solve basic differential equations, and also learn some cool approximation techniques. One of the reasons this unit is really interesting is because of all the cool images that can be generated using integrals. You will see what this means very soon!

    Completing this unit should take you approximately 65 hours.

    • Unit 3 Learning Outcomes Page
    • Unit 3 Activities Page
    • 3.1: Techniques of Antidifferentiation (Integration) 

    • 3.2: Interpretations and Properties of Definite Integrals 

    • 3.3: Fundamental Theorem of Calculus

    • 3.4: Improper Integrals

    • 3.5: Applications of Integrals 

    • 3.6: Numerical Approximations to Definite Integrals

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