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4## XLatest Additions

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

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

7914Integration : Substitution method : Exam Question

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Investigate Integration of

^{1}/_{ax}1/(ax) with limits

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Exact values 2

Definite integral 1

Definite integral

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Exam O-test 2

Exam timed O-test

Trapezium rule 3

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Solving sine equations 3

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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

Explanation

Finding perpendicular lines 2

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

Evaluating the gradient 3

Accuracy 1

Accuracy 3

O-test 2

Midpoint and trapezium 1

Midpoint and trapezium 2

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Impedance 2

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O-test 2

Cobweb diagrams 2

Exam O-test 1

Exam O-test 1

Exam O-test 3

Exam timed O-test

Exam timed O-test

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Positive & negative area

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Exam timed O-test 1

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 3

Finding an area 4

Area between curves 3

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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 2

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

Example 6

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Exam O-test 1

Quiz

Exam O-test

Exam O-test 2

Exam O-test 3

O-test

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Investigate Integration of e

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Using tables 1

Definite integral 2

Definite integral 3

Matching O-test

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Exam timed O-test

First theorem

Investigate

Second theorem

Investigate

Second theorem 2

MIT video: Fundamental theorem 2

MIT video: seperable des

Pattern A 1

Pattern A 2

Factorial

Pattern B 1

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Pattern B 2

Pattern B 3

Exam O-test

Exam timed O-test

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Odd functions 2

Example 2

Example 3

Example 4

Example 6

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Exam O-test

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Reverse 1

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Introduction

Reverse 2

Rational powers

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O-test 3

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Exam O-test 3

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Key points

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Simple functions 1

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Integral of x

^{p}Simple functions 2

Simple functions 3

True or false O-test

Find the constant

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O-test 3

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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

Exam O-test 5

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Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Pollution

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Exam O-test

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Exam O-test 4

Exam timed O-test

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Assessment

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Visualizing 2

Visualizing

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Linear substitutions 2

Linear substitutions 3

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Quadratic substitution

Power substitution

Trig substitution 2

Trig substitution

Find the equation 2

Square roots 4

Tan x substitution

Square roots 2

Trig substitution 4

Trig substitution 5

Square roots 3

More examples

Log substitution

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Exam O-test 1

Exam O-test 3

Matching O-test

Exam O-test 4

Exam timed O-test

True or false

Investigate

Example 1

Example 2

Example 3

Average rainfall

MIT video: implicit differentiation 2

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Investigate Trig Integration

sin x and cos x

tan x and cot x

sin ax and cos ax

e

^{ax+b}tan ax and cot ax

Other trig functions 3

Fish

Using identities

Other trig functions 2

Definite integrals

Definite integrals 2

Matching O-test

Using a GDC

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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 2

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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

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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 2

O-test

Sequence O-test 2

Exam O-test 3

Exam timed O-test 2

Xtra 1

MIT video: improper integrals

Finding h(x,t)

Finding h(x,t) 2

Definition 2

Finding h(x,t) 3

Bernoulli equations

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

A puddle

Example 4

O-test

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The method

The method 2

Population growth

Radioactive decay

Speed

Height of a tree

Cooling

Increasing radius

Radioactive half-life

Using a substitution 2

Using a substitution 3

Using a substitution 4

Using a substitution 5

Definition

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O-test 1

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: Mean value theorem

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Acceleration

Acceleration 2

Acceleration 3

A motorbike

A rocket

A racing car

An insect

A particle

A particle 2

Properties 5

Exam O-test

Using a GDC

O-test 2

O-test 2

Mindmap

Calculus glossary and quiz