15
72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan −1 x) Homework Problem 7, A#12

Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

  • Upload
    others

  • View
    6

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

1

July 22, 2015

Simplify the expression. cos(2 tan−1 x) 

Homework Problem 7, A#12

Page 2: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

2

July 22, 2015

Find the derivative of the function. y = (tan−1(6x))2 

Problem #9, A#11

Page 3: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

3

July 22, 2015

Problem 14, A#11

Page 4: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

4

July 22, 2015

Problem #12, A#11

Page 5: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

5

July 22, 2015

problem #16, A#11

Page 6: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

6

July 22, 2015

Section 7.1: Integration by Parts

Product Rule: (uv)' =u'v+uv',  u=u(x), v=v(x)

Page 7: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

7

July 22, 2015

Example 1

Page 8: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

8

July 22, 2015

Example 2

Page 9: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

9

July 22, 2015

Example 3

Page 10: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

10

July 22, 2015

Example 4

Page 11: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

11

July 22, 2015

Example 5

Page 12: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

12

July 22, 2015

Example 6

Page 13: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

13

July 22, 2015

Section 7.2: Trigonometric Integrals

Example 1

Page 14: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

14

July 22, 2015

Example 2

Page 15: Simplify the expression. cos(2 tancore.ecu.edu/math/shlapentokha/courses/2172/Summer... · 7/22/2015  · 72215.notebook 1 July 22, 2015 Simplify the expression. cos(2 tan−1 x)

7­22­15.notebook

15

July 22, 2015

Example 3