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The Meaning of Integration
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| Organization: | Oakland High School |
| Department: | Mathematics Department |
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Precollege
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This lesson helps students understand the meaning of integration, including: - Integration can be used to find area under a curve. The value of the integral is an area if the integrand is always nonnegative on an interval.
- Integrals can also have a value which is negative or zero.
- Integrals can be evaluated by using the geometric interpretation of the integral to simplify the calculations in some cases.
- The integral can be used to find the average value of a function over an integral.
- Symmetry can be used to simplify integrals.
- Integration can be used to accumulate a rate of change.
- An integral can be used to find the value of a function at a point.
- An Integral can be used to define a new function.
- The integral is an infinite sum of products. (Riemann Sum)
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Integration, Area Under a Curve, Geometric Interpretation, Average Value of a Function, Symmetry, Accumulate a Rate of Change, Value of a Function at a Point, Infinite Sum of Products, Riemann Sums, Fundamental Theorem of Calculus
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| MeaningIntegrationClosed.nb (46.8 KB) - Mathematica Notebook |
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