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07/20/22 Perkins AP Calculus AB Day 4 Section 5.7

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AP Calculus AB. Day 4 Section 5.7. AP Calculus AB. Day 4 Section 5.7. - PowerPoint PPT Presentation

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Page 1: AP Calculus AB

04/19/23 Perkins

AP Calculus AB

Day 4Section 5.7

Page 2: AP Calculus AB

21.

6 15

dx

x x

22.

2 8 10

dx

x x

3u x 6a du dx

2 9 96 15

dx

x x

2

1

3 6dx

x

1 3arctan

6 6

xC

2

1 1

2 4 5dx

x x

2 4 4

1 1

2 4 5dx

x x

2

1 1

2 2 1dx

x

2u x 1a

du dx

1arctan 2

2x C

Page 3: AP Calculus AB

23.

3

dx

x x

32u x

du dx

32a

2 3

dx

x x

2 3

dx

x x

94

2 943

dx

x x

29 94 43

dx

x x

2 23 32 2

dx

x

32

32

arcsinx

C

2 3arcsin

3

xC

Page 4: AP Calculus AB

2

2 34.

4

xdx

x x

24u x x 4 2du x dx

2a

2

1 12 3

4

xdx

x x

2 2

2 4 1

4 4

xdx dx

x x x x

2 2

2 4 1

4 4

xdx dx

x x x x

12

2 4 4

1

4u du dx

x x

12

2

1

4 2u du dx

x

2u x

du dx12

22 arcsin

2

xu C

122 2

2 4 arcsin2

xx x C

Page 5: AP Calculus AB

Perkins

AP Calculus AB

Day 4Section 5.7

Page 6: AP Calculus AB

21.

6 15

dx

x x

22.

2 8 10

dx

x x

Page 7: AP Calculus AB

23.

3

dx

x x

Page 8: AP Calculus AB

2

2 34.

4

xdx

x x