Calculus II (MAT 146) Dr. Day Friday, Oct 7, 2016 Integration Applications Area Between Curves (6.1) Average Value of a Function (6.5) Volumes of Solids (6.2, 6.3) Created by Rotations Created using Cross Sections Methods of Integration U-substitution (5.5) Integration by Parts (7.1) Trig Integrals (7.2) Trig Substitution (7.3) Partial-Fraction Decomposition (7.4) Putting it All Together: Strategies! (7.5) Improper Integrals (7.8) Assignments More Integration Applications Arc Length of a Curve (8.1) Probability (8.5) Friday, Oct 7, 2016 MAT 146

Arc Length: The length of a curve between two points on the curve Friday, Oct 7, 2016 MAT 146

Arc Length: How Can We Use the Sum of an Infinite Number of Lengths? Friday, Oct 7, 2016 MAT 146

Arc Length: The length of a typical segment Friday, Oct 7, 2016 MAT 146

Set up, but do not evaluate, equations/integrals to represent the perimeter of the 4th-quadrant region bounded by the curve y = x2 – 2x and the x-axis. Friday, Oct 7, 2016 MAT 146

Probability Discrete vs Continuous Situations Examples and Illustrations Terminology Friday, Oct 7, 2016 MAT 146

A Discrete Probability Distribution: Rolling a Die Friday, Oct 7, 2016 MAT 146

Another Discrete Case: A Coin-Toss Game Friday, Oct 7, 2016 MAT 146

Continuous Random Variables Friday, Oct 7, 2016 MAT 146

Continuous Random Variables Friday, Oct 7, 2016 MAT 146

Continuous Random Variables Friday, Oct 7, 2016 MAT 146

Probability Density Functions (PDFs) Friday, Oct 7, 2016 MAT 146

Probability Representations Friday, Oct 7, 2016 MAT 146

Probability Representations Friday, Oct 7, 2016 MAT 146

Friday, Oct 7, 2016 MAT 146

Friday, Oct 7, 2016 MAT 146

Friday, Oct 7, 2016 MAT 146

Friday, Oct 7, 2016 MAT 146

Friday, Oct 7, 2016 MAT 146