Review
- Integration
- Area Between Curves
- Volume
 
Bell Ringer Find the EXACT arc length of the graph of the function  over the interval [1,2]. 
Determine the approximate arc length of  on the interval -2 ≤ x ≤ 3. 87.83 87.84 0 119.57 none of the above
Evaluate the definite integral for the EXACT area of the surface formed by revolving the graph of  about the x-axis. 
Determine the approximate surface area of the solid formed by revolving the graph of  on the interval  about the x-axis. 14.01 9.49 0 16.08 - none of the above
Lesson - Arc Length
 - Surface Area of a Revolution
- Posted on the board at the end of the block
Homework
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Standard(s)
- APC.15
- The student will use integration techniques and appropriate integrals to model physical, biological, and economic situations. The emphasis will be on using the integral of a rate of change to give accumulated change or on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral. Specific applications will include
- a) the area of a region;
- b) the volume of a solid with known cross-section;
- c) the average value of a function; and
- d) the distance traveled by a particle along a line.
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