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Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
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DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
/
Integration
/
Video
Edit

Video Review

Watch comprehensive review videos for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

IB Math AIHL
/
Integration
/
Video
Edit

Video Review

Watch comprehensive review videos for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

Not your average video:

Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

Integration

Video Review

Timeline

Integration as reverse differentiation

01:37

The Integration Constant

02:38

Anti-Derivative of xⁿ, n∈ℕ

03:41

Integrals of sums and scalar products

04:11

Boundary Conditions

05:06

Anti-Derivative of xⁿ, n∈ℚ

05:44

Anti-Derivative of sin and cos

06:00

Anti-Derivative of e^x

06:18

Anti-Derivative of 1/x

06:24

Integrating f(ax+b)

08:25

Integration by substitution

09:32

Problem

12:57

DEFINITE INTEGRALS

Riemann Sum

21:19

Definite Integrals

24:02

Substitution and Integral Bounds

24:34

##### Connection between anti-derivatives and area

25:56

Area under a curve

28:51

Problem

30:25

Area between curve and x-axis

35:21

Area between curves

36:42

Problem

37:58

Definite Integral Rules

44:31

Problem

45:14

KINEMATICS

Displacement vs Distance

47:49

Displacement, velocity and acceleration

48:56

Speed

50:42

Displacement from Velocity

50:56

Distance from Velocity

52:40

Problem

54:33

HL

Anti-Derivative of aˣ

1:01:33

Derivatives of reciprocal trig functions

1:01:59

Derivatives of inverse trig functions

1:02:30

Anti-Derivatives leading to arcsin or arctan

1:02:51

Partial fractions

1:08:43

Integration by parts

1:14:52

Repeated integration by parts

1:17:09

Cyclical integration by parts

1:19:08

Area between curve and y-axis

1:32:26

Volume of revolution [graph: Graph] ![](https://

1:40:11

Volume of revolution about x-axis

1:41:54

Volume of revolution about y-axis

1:43:08

Problem

1:43:57

Definite integralsKinematicsHL

The video will automatically pause when it reaches a problem.

Definite integralsKinematicsHL

Integration

Video Review

Timeline

Integration as reverse differentiation

01:37

The Integration Constant

02:38

Anti-Derivative of xⁿ, n∈ℕ

03:41

Integrals of sums and scalar products

04:11

Boundary Conditions

05:06

Anti-Derivative of xⁿ, n∈ℚ

05:44

Anti-Derivative of sin and cos

06:00

Anti-Derivative of e^x

06:18

Anti-Derivative of 1/x

06:24

Integrating f(ax+b)

08:25

Integration by substitution

09:32

Problem

12:57

DEFINITE INTEGRALS

Riemann Sum

21:19

Definite Integrals

24:02

Substitution and Integral Bounds

24:34

##### Connection between anti-derivatives and area

25:56

Area under a curve

28:51

Problem

30:25

Area between curve and x-axis

35:21

Area between curves

36:42

Problem

37:58

Definite Integral Rules

44:31

Problem

45:14

KINEMATICS

Displacement vs Distance

47:49

Displacement, velocity and acceleration

48:56

Speed

50:42

Displacement from Velocity

50:56

Distance from Velocity

52:40

Problem

54:33

HL

Anti-Derivative of aˣ

1:01:33

Derivatives of reciprocal trig functions

1:01:59

Derivatives of inverse trig functions

1:02:30

Anti-Derivatives leading to arcsin or arctan

1:02:51

Partial fractions

1:08:43

Integration by parts

1:14:52

Repeated integration by parts

1:17:09

Cyclical integration by parts

1:19:08

Area between curve and y-axis

1:32:26

Volume of revolution [graph: Graph] ![](https://

1:40:11

Volume of revolution about x-axis

1:41:54

Volume of revolution about y-axis

1:43:08

Problem

1:43:57

Definite integralsKinematicsHL

The video will automatically pause when it reaches a problem.

Definite integralsKinematicsHL