#### Type:

Assessment, E-book, Lesson Plan, Manual

#### Description:

In this, the fourth section of the course, the topics include:Interpretations and properties of definite integrals• Definite integral as a limit of Riemann sums.• Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval.• Basic properties of definite integrals (examples include additivity and linearity).Fundamental Theorem of Calculus• Use of the Fundamental Theorem to evaluate definite integrals.• Use of the Fundamental Theorem to represent a particular antiderivative and the analytical and graphical analysis of functions so defined.Techniques of antidifferentiation• Antiderivatives following directly from derivatives of basic functions.• Antiderivatives by substitution of variables (including change of limits for definite integrals).Numerical approximations to definite integrals.• Use of Riemann sums (using left, right, and midpoint evaluation points) and trapezoidal sums to approximate definite integrals of functions represented algebraically, graphically, and by tables of values.

#### Subjects:

• Mathematics > General
• Mathematics > Calculus

• Grade 11
• Grade 12

#### Keywords:

inverse operation differentiation definite integrals substitution indefinite integrals trapezoidal ruble

English

Members

#### License Deed:

Creative Commons Attribution Non-Commercial

#### Collections:

Curriki Calculus
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2.3
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This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 2.3, as of 2016-02-29.

#### Component Ratings:

Standards Alignment: 3
Subject Matter: 2
Support Steaching: 2
Instructional Quality: 2

#### Reviewer Comments:

Standards Alignment: This resources contains videos, textbooks and worksheets all organized by CCSS.
Subject Matter: Resources for each content standard are included; however, they typically stand alone and additional instructor support would be required for deeper understanding.
Support Steaching: Instructors would need to determine how each of the resources could be used to best benefit students.
Instructional Quality: Worksheets that focus on individual content standards are included. They do include answer keys. Textbook resources include exercises and answers.

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