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Section 5.2 The Definite Integral Calculus Winter, 2013
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Summary We learned that we can find the exact area on the interval [a,b] under a curve by taking the following limit…
![Summary We learned that we can find the exact area on the interval [a,b] under a curve by taking the following limit…](http://images.slideplayer.com/26/8821833/slides/slide_2.jpg "Summary We learned that we can find the exact area on the interval [a,b] under a curve by taking the following limit…")
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The Riemann Sum We call this limit “The Riemann Sum” named for Bernhard Riemann.
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The Definite Integral Instead of the bulky Riemann notation, use the easier Leibniz notation Function Sum (Sigma) Sum (Integration) Slice of x
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Your turn…
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“Negative Areas”
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“Negative Area” Example
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Time (sec)Speed (fps) 00 123 244 362 476 585 688 0
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Time (sec) Speed (fps) 00 123 244 362 476 585 688
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Assignment
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