Section 5.2 The Definite Integral Calculus Winter, 2013.

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Presentation transcript:

Section 5.2 The Definite Integral Calculus Winter, 2013

Summary We learned that we can find the exact area on the interval [a,b] under a curve by taking the following limit…

The Riemann Sum We call this limit “The Riemann Sum” named for Bernhard Riemann.

The Definite Integral Instead of the bulky Riemann notation, use the easier Leibniz notation Function Sum (Sigma) Sum (Integration) Slice of x

Your turn…

“Negative Areas”

“Negative Area” Example

Time (sec)Speed (fps)

Time (sec) Speed (fps)

Assignment