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Pure 1 - Chapter 13+14
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Created on January 24, 2024
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Transcript
LO's
Chapter 13 - Integration
Knowledge check 1
y dπ₯
b2-4ac
Ans A
A = lw
Ans B
Old
Ans C
New
AS
Related
13.1 - Integrating xn
Rules
y dπ₯
b2-4ac
A = lw
AS
13.1 - Integrating xn
Rules
y dπ₯
b2-4ac
A = lw
AS
13.1 - Integrating xn
Rules
y dπ₯
b2-4ac
A = lw
AS
13.1 - Integrating xn
Rules
y dπ₯
b2-4ac
A = lw
AS
13.2 - Definite integrals
Rules
y dπ₯
b2-4ac
A = lw
AS
13.2 - Definite integrals
Rules
y dπ₯
b2-4ac
A = lw
AS
13.3 - Finding functions
Rules
y dπ₯
b2-4ac
A = lw
AS
13.3 - Finding functions
Rules
y dπ₯
b2-4ac
A = lw
AS
13.4 - Definite integrals
y dπ₯
b2-4ac
Rules
A = lw
AS
13.4 - Definite integrals
Rules
y dπ₯
b2-4ac
A = lw
AS
13.4 - Definite integrals
Rules
y dπ₯
b2-4ac
A = lw
AS
13.5 - Areas under curves
y dπ₯
b2-4ac
A = lw
AS
Rules
13.5 - Areas under curves
y dπ₯
Rules
b2-4ac
A = lw
AS
13.6 - Areas under the x-axis
y dπ₯
Rules
b2-4ac
A = lw
AS
13.6 - Areas under the x-axis
y dπ₯
Rules
b2-4ac
A = lw
AS
13.7 - Areas between curves and lines
y dπ₯
Rules
b2-4ac
A = lw
AS
13.7 - Areas between curves and lines
y dπ₯
Rules
b2-4ac
A = lw
AS
LO's
Chapter 14 - Exponentials and logarithms
Knowledge check 1
y dπ₯
b2-4ac
A = lw
Old
New
AS
Related
14.1 - Exponential functions
Rules
y dπ₯
b2-4ac
A = lw
AS
14.1 - Exponential functions
Rules
y dπ₯
b2-4ac
A = lw
AS
14.2 - ex
y dπ₯
b2-4ac
A = lw
AS
Rules
14.2 - ex
Rules
y dπ₯
b2-4ac
A = lw
AS
14.2 - ex
Rules
y dπ₯
b2-4ac
A = lw
AS
14.3 - Exponential modelling
Rules
y dπ₯
b2-4ac
A = lw
AS
14.4 - Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.4 - Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.4 - Logarithms
Rules
y dπ₯
b2-4ac
Rules
A = lw
AS
14.5 - Laws of Logarithms
y dπ₯
b2-4ac
A = lw
Rules
AS
14.5 - Laws of Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.5 - Laws of Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.5 - Laws of Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.5 - Laws of Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.6 - Solving equations using Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.6 - Solving equations using Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.6 - Solving equations using Logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.7 - Working with natural logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.7 - Working with natural logarithms
Rules
y dπ₯
b2-4ac
A = lw
AS
14.8 - logarithms and non-linear data
Rules
y dπ₯
b2-4ac
A = lw
AS
14.8 - logarithms and non-linear data
Rules
y dπ₯
b2-4ac
A = lw
AS
14.8 - logarithms and non-linear data
Rules
y dπ₯
b2-4ac
A = lw
AS
14.8 - logarithms and non-linear data
Rules
y dπ₯
b2-4ac
A = lw
AS
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
Chapter 13 Learning Objectives
- Find y given α΅ΚΈβdx for xn
- Integrate polynomials.
- Find f'(x), given f'(x) and a point on the curve.
- Evaluate a definite integral.
- Find the area bounded by a curve and the x-axis.
- Find areas bounded by curves and straight lines.
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
Chapter 13 Learning Objectives
- Sketch graphs of the form y = ax, y = ex, and transformations of these graphs.
- Differentiate ekx and understand why this result is important.
- Use and interpret models that use exponential functions.
- Recognise the relationship between exponents and logarithms.
- Recall and apply the laws of logarithms
- Solve equations of the form ax=b
- Describe and use the natural logarithm function.
- Use logarithms to estimate the values of constants in non-linear models.
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
b2-4ac
dy
dx
f(π₯+a)
y dπ₯
Logs
A Level
Higher
Foundation
A Level
Higher
Foundation
A Level
Higher
Foundation