Does anyone know of a very good website that can teach me to better understand the disk, washer, shell method to finding volume of irregular figures (solid of revolution)using of course, integration techniques (such as when to recognize integration with respect to y or X for the axis of revolution)?

No, I don't know of one on the web. But I can recommend a book readily available at the college bookstore, or your local Barnes Noble (or online At amazon). I recommend look at it before buying.

Schaums Outline Series: Calculus series. About 17 dollars. Look at them, and pick the one you need. Very good.

While I understand that you are looking for a website, I can still provide some guidance on how to better understand the disk, washer, and shell methods for finding volume of irregular figures using integration techniques.

Before diving into specific resources, it's important to have a solid foundation in calculus. Make sure you are comfortable with concepts like integration, differentiating functions, and setting up integrals for basic shapes.

To understand the disk, washer, and shell methods, you can start by watching video tutorials on platforms like YouTube. There are many educational channels that cover calculus topics, including solid of revolution. Some popular channels include Khan Academy, The Organic Chemistry Tutor, and PatrickJMT. These channels often provide step-by-step explanations and examples to help you grasp the concepts.

Additionally, you can explore online resources like MathIsFun, Paul's Online Math Notes, and WolframAlpha. These websites offer explanations, interactive tools, and practice problems related to calculus, including volumes of solids of revolution.

If you prefer a more structured approach, consider searching for online courses or lectures on platforms like Coursera or edX. These platforms offer a wide range of math courses, including calculus, where you can find specific lessons on volumes of solids of revolution.

Lastly, as you mentioned, textbooks can be a valuable resource. The Schaum's Outline Series, particularly the Calculus series, is known for its comprehensive explanations and practice problems. Consider checking out a few options from your college bookstore or online platforms like Amazon before making a purchase.

Remember, when studying the disk, washer, and shell methods, it's crucial to understand when to integrate with respect to x or y for the axis of revolution. Pay attention to the shape and orientation of the given figure to determine the correct approach.

By utilizing a combination of videos, online resources, online courses, and textbooks, you can gain a deeper understanding of the disk, washer, and shell methods for finding volume of irregular figures using integration techniques.