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Finding the volume of revolution is a key topic in A-Level Further Mathematics. However, students often struggle with setting up the integral correctly, misunderstanding the axis of rotation, and making errors in the integration process. These tutorials address these common mistakes through clear, step-by-step explanations and practical examples.

**Exclusive Membership Benefits**

Members of Mr Mathematics can download the full lesson and student handout. These resources ensure a thorough understanding of the topics covered and provide ample opportunities for students to apply what they’ve learned.

**Key Skills:**

- Understanding the concept of rotating a function about the x-axis.
- Setting up the integral to find the volume of the solid of revolution.
- Performing the integration correctly.

In this tutorial, we cover the basics of finding the volume of revolution when a function is rotated about the x-axis. Students will learn how to set up and evaluate the integral to find the exact volume of the solid.

**Learning Progression:**

- Applying the volume of revolution concept to more complex functions.
- Understanding the impact of different limits of integration.

Building on the foundation from Part 1, this session provides a more complex example of finding the volume of revolution about the x-axis.

**Advanced Skills:**

- Understanding the concept of rotating a function about the y-axis.
- Setting up the integral to find the volume of the solid of revolution around the y-axis.

In this part of the series, we look into the concept of finding the volume of revolution when a function is rotated about the y-axis. Students will learn how to adjust their setup and calculations for this different axis of rotation.

**Advanced Skills:**

- Applying the volume of revolution concept to more complex functions around the y-axis.
- Understanding how to make x
^{2}the subject by from a quadratic equation.

In the final part of our series, we explore more advanced examples of finding the volume of revolution about the y-axis. We use the method of completing the square to make x^{2} the subject of a quadratic equation.

**Exclusive Membership Benefits**

As a member of Mr Mathematics, you gain access to comprehensive lesson plans and student handouts that accompany each tutorial. These resources include:

**Full Lesson Plans**: Structured PowerPoint presentations with starter, main, and plenary sections.

**Differentiated Worksheets**: Additional practice problems tailored to various skill levels, ensuring all students can effectively learn and apply the concepts.

**Detailed Solutions**: Step-by-step solutions to reinforce understanding and support self-assessment.

By joining Mr Mathematics, you not only enhance your learning experience but also ensure consistent practice and mastery of A-Level Mathematics concepts.

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