In the last article we discussed about Chapter 7 in Class XII mathematics (Calculus and Integration). So, friends, where have you reached? Is the revision of chapter 7 under way?

Let us take up the next topic Application of Integrals (Chapter 8), which is a relatively small chapter.

Application of Integrals

You may recall that 19 marks are allotted to chapters 7 and 8 (Integration and its application). Normally 12-13 marks are allotted to chapter 7. So, you should expect one 6-mark question in this topic.

Your target time for first revision should be 4-5 hours appx for the two exercises (8.1 & 8.2) and the Misc exercise and also little bit of previous years’ questions from reference book.

Some important questions from NCERT are as follows:

Exercise Important Examples Important Questions
Ex 8.1  Examples 2, 5 Questions 3, 6, 8
Ex 8.2 Examples 7, 8, 9, 10 Questions 2, 5, 6
Misc Ex 8 Examples 12, 13, 14 [important exercise] Questions 3, 4, 7, 8, 11, 12, 15, 16, 19


  1. Please revise the formulae and concepts of coordinate geometry like straight line (two point form), circle, parabola, ellipse, hyperbola etc. for this chapter.
  2. Drawing correct figure (even in clean sketch form) is very important for this chapter.
  3. For both differentiation and integration some the concepts and formulae of trigonometry are very important like sin2x, cos2x, tan2x etc, half angle formulae, addition and product formulae.
  4. For AOD, please memorise the surface area (curved and total) and volume formulae of cuboid, sphere, cylinder, cone.

This first revision of this topic should be completed by 25th-26th Nov. Better, if you can complete before that.

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