Update(s)  Unit 6  Applications of Integration
 Area of a Region
 Volume of a Region: Disk Method
 Arc Length and Surface Area of a Region
 Unit 6 Test
 Summative 3 Exam
 covers Units 5 and 6
 next Friday, May 15th
 Seniors Final Exam (optional)
 Monday, May 18th
 812am
 Gym
Questions Find the area between the two functions: from x = 0 to x = 5. 5 10 5 0 none of the above
Find the area between the two functions: from x = 0 to x = 2. 4 4 0 2 none of the above
Graph each equation. Find the area between the two curves: 1/4 1/2 1/12 5/6 none of the above
Graph each equation. Find the area between the two curves: 1/4 1/2 1/12 5/6 none of the above
Graph each equation. Find the area bounded by the region: 4  ln(2) 4  4ln(2) 4 0  none of the above
Review
 Prerequisites
 Area of a Region
 How can the area of a region be calculated using definite integrals?
 Sketch areas of regions between given equations.
 Calculate area of regions between equations using calculus.
 Activity
 Checkpoints
 Extra Practice
Lesson
Exit Ticket Posted on the board at the end of the block!
 Lesson Objective(s)
 How can the volume of a solid of revolution be found?
Skills
 Find volume using disk method.
 Find volume using washer method.
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.
