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 xaxis.
Determine the approximate surface area of the solid formed by revolving the graph of on the interval about the xaxis. 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

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 crosssection;
 c) the average value of a function; and
 d) the distance traveled by a particle along a line.
