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    IB Math AASL
    /
    Integration
    /

    Video

    Video Reviews

    Watch comprehensive video reviews 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 Reviews

    Watch comprehensive video reviews for Integration, 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.

    Definite integralsKinematicsHL

    The video will automatically pause when it reaches a problem.

    Area under a curve

    SL 5.5

    The area between a curve when f(x)>0 and the x-axis is given by

    A=∫ab​f(x)dx📖

    Powered by Desmos

    Example

    Find the area the, shaded in the diagram below, enclosed between the curve y=1−(x−3)2 and the x-axis.

    Powered by Desmos

    A    ​=∫24​1−(x−3)2dx =∫24​−x2+6x−8dx =(−3x3​+3x2−8x)24​=34​​​

    Area under a curve

    SL 5.5

    The area between a curve when f(x)>0 and the x-axis is given by

    A=∫ab​f(x)dx📖

    Powered by Desmos

    Example

    Find the area the, shaded in the diagram below, enclosed between the curve y=1−(x−3)2 and the x-axis.

    Powered by Desmos

    A    ​=∫24​1−(x−3)2dx =∫24​−x2+6x−8dx =(−3x3​+3x2−8x)24​=34​​​
    Definite integralsKinematicsHL