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8034Integration : Definite integration : Exam Question
8018Integration : Substitution method : Exam Question
8012Integration : Substitution method : Exam Question
8003Integration : Definite integration : Exam Question
8001Integration : Volume of revolution : Exam Question
7999Integration : Substitution method : Exam Question
7998Integration : Approximate integration : Exam Question
7992Integration : Separable differential equations : Exam Question
7971Integration : Definite integration : Exam Question
7963Integration : Definite integration : Exam Question
7946Integration : Reverse of differentiation : Exam Question
7942Integration : Rules : Exam Question
7932Integration : Approximate integration : Exam Question
7926Integration : Reverse of differentiation : Exam Question
7924Integration : Rules : Exam Question
Randomized Exam Q 2009
Investigate Integration of 1/ax
1/(ax)
1/(ax) with limits
1/(ax+b)
1/(ax+b) with limits
Definite integral
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Exam O-test
Exam timed O-test
Trapezium rule 3
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Trapezium rule 2
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Trapezium rule 1
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Investigate the Trapezium Rule
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Riemann sums
Trapezium Rule for Difficult Integrals
The trapezium rule
More examples
Approximate integration
Left-hand, Right-hand method
Left-hand rule
Right-hand rule
Left and Right-hand rules
The mid-point rule
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The mid-point rule 2
The mid-point rule 3
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The mid-point rule 4
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The mid-point rule 5
The trapezium rule
Trapezium rule 4
Trapezium rule 5
Accuracy 1
Accuracy 2
Accuracy 3
Midpoint and trapezium 1
Midpoint and trapezium 2
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Quiz
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O-test 1
O-test 2
Exam O-test 1
Exam O-test 3
Exam O-test 2
Exam timed O-test 1
Exam timed O-test 2
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Positive & negative area
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Exam timed O-test
Finding an area 1
Understanding areas
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Introduction
Finding areas
Multiplying by a constant
Using the notation
Check the steps
Finding an area 2
Finding an area 3
Finding an area 4
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Horizontal slices
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Horizontal slices 2
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Horizontal slices 3
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Horizontal slices 4
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Reversing the steps
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Positive & negative area 2
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O-test 1
Vertical slices
Approximate area between curves
Approximate area 2
Approximate area 3
Using a GDC
Using a GDC 2
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Area between curves
Area between curves 2
Area between curves 3
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O-test 2
O-test 3
Exam O-test 1
Exam O-test 2
Exam O-test 2
Exam O-test 3
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Investigate Integration of eax
eax+b
Definite integral 1
Definite integral 2
Definite integral 3
Matching O-test
Randomized Exam Q 2004
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Exam timed O-test
First theorem
Investigate
Second theorem
Investigate
Second theorem 2
MIT video: Fundamental theorem 1
MIT video: Fundamental theorem 2
Pattern A 1
Pattern A 2
Pattern A 3
Pattern B 1
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Pattern B 2
Pattern B 3
Exam O-test
Exam timed O-test
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Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
O-test
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Reverse 1
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Introduction
Reverse 2
Rational powers
Matching O-test
O-test
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Exam O-test
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Key points
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Simple functions 1
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Integral of xp
Simple functions 2
Simple functions 3
True or false O-test
Find the constant
Find the constant 2
O-test
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Sequence O-test
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Timed O-test
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Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
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Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Radioactive half-life
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Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam timed O-test
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Assessment
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Visualizing 2
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Visualizing
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Linear substitutions
Linear substitutions 2
Linear substitutions 3
Quadratic substitution
Power substitution
Trig substitution 2
Trig substitution
Trig substitution 3
Trig substitution 4
Trig substitution 5
Tan x substitution
Square roots
Square roots 2
Square roots 3
Square roots 4
More examples
Log substitution
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Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam timed O-test 1
Exam timed O-test 2
Investigate
Example 1
Example 2
Example 3
Average rainfall
MIT video: Mean value theorem
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Investigate Trig Integration
sin x and cos x
tan x and cot x
sin ax and cos ax
sin ax and cos ax 2
tan ax and cot ax
Other trig functions
Other trig functions 2
Using identities
Other trig functions 3
Definite integrals
Definite integrals 2
Matching O-test
Using a GDC
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Exam O-test
Exam timed O-test
Memorise the methods
True or false O-test
Matching O-test 2
Spot the method
Vocabulary O-test
O-test
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Worked example 2
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Worked example
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Investigate
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Investigate 2
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Example 1
Area and volume
Example 2
Example 3
Example 4
Randomized Exam Q 2002
Investigate the washer method
The washer method 1
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The washer method 2
The washer method 3
Investigate cylindrical shells
Volumes with known cross-section
Known cross-section 2
Known cross-section 3
Known cross-section 4
Volumes using a GDC
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O-test
Exam O-test 1
Exam O-test 2
Exam O-test 3
Exam O-test 4
Exam timed O-test
Xtra 1
MIT video: calculus and trigonometry
Definition
Definition 2
Finding h(x,t)
Finding h(x,t) 2
Finding h(x,t) 3
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Voltage
Population
Water tank
Newton's law of cooling
Hot air balloon
Can of drink
Pollution
A puddle
O-test
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The method
The method 2
Population growth
Radioactive decay
Speed
Height of a tree
Cooling
Increasing radius
Inspector Holmes
Using a substitution
Using a substitution 2
Using a substitution 3
Using a substitution 4
Using a substitution 5
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Exam O-test
Creating slope fields 4
Introduction
Slope fields
Slope fields 2
Slope fields 3
Slope fields 4
Slope fields 5
Creating slope fields
Creating slope fields 2
Creating slope fields 3
MIT video: slope fields
MIT video: seperable des
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Acceleration
Acceleration 2
Acceleration 3
A motorbike
A rocket
A racing car
An insect
A particle
A particle 2
A particle 3
Exam O-test 1
Using a GDC
Exam O-test 2
Exam O-test 3
Mindmap
Calculus glossary and quiz