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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.


  • Mathematics > General
  • Mathematics > Calculus

Education Levels:

  • Grade 11
  • Grade 12


inverse operation differentiation definite integrals substitution indefinite integrals trapezoidal ruble



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Curriki Calculus
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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.

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

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Standards Alignment: This resources contains videos, textbooks and worksheets all organized by CCSS.
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