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Properties of Definite Integrals Lesson 14.4
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Properties to make things easier Properties to make things easier If f is continuous on the interval [a,c] and a < b < c, then
![Properties to make things easier Properties to make things easier If f is continuous on the interval [a,c] and a < b < c, then](http://images.slideplayer.com/33/10102797/slides/slide_2.jpg "Properties to make things easier Properties to make things easier If f is continuous on the interval [a,c] and a < b < c, then")
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Difference of Areas If f is a continuous function on the interval [0, b] and 0 < a < b, then
![Difference of Areas If f is a continuous function on the interval [0, b] and 0 < a < b, then](http://images.slideplayer.com/33/10102797/slides/slide_3.jpg "Difference of Areas If f is a continuous function on the interval [0, b] and 0 < a < b, then")
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Sum Property of Integrals If f and g are continuous functions on the interval from a to b, then
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Constant Multiple Property of Integrals If f is a continuous function on the interval from a to b, and c is a real number, then
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Example 1 Verify the Constant Multiple Property of Integrals Theorem when a = 3, b = 5, c = 3 and f(x) =.5x – 1 by using areas of triangles and trapezoids.
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Other way Other way
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Example 2 Use the data from example 2 in this lesson. Estimate how much more energy comes from East Denmark to Germany using the power f(t) at time t, than from West Denmark to Germany, using the power g(t) at power t.
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Homework Pages 836 – 837 1 – 4, 6 – 9, 13 – 14, 17 - 19
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