We will determine the area of the region bounded by two curves.
Volumes of Solids of Revolution / Method of Rings – In this section, the first of two sections devoted to finding the volume of a solid of revolution, we will look at the method of rings/disks to find the volume of the object we get by rotating a region bounded by two curves (one of which may be the \(x\) or \(y\)-axis) around a vertical or horizontal axis of rotation.
Note that some sections will have more problems than others and some will have more or less of a variety of problems.
Most sections should have a range of difficulty levels in the problems although this will vary from section to section.
Of all the techniques we’ll be looking at in this class this is the technique that students are most likely to run into down the road in other classes.
We also give a derivation of the integration by parts formula.
In this way, the reader will be able to go through the whole chapter in a systematic way.
• Just after completion of the theory, Solved Examples of all JEE types have been given, providing the students a complete understanding of all the formats of JEE questions & the level of difficulty of questions generally asked in JEE.
A Summary of changes that have been made in Revised & Enlarged Edition • The theory has been completely updated so as to accommodate all the changes made in JEE Syllabus & Pattern in recent years.
• The most important point about this new edition is, now the whole text matter of each chapter has been divided into small sessions with exercise in each session.