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 |
Tips:
- Please revise the formulae and concepts of coordinate geometry like straight line (two point form), circle, parabola, ellipse, hyperbola etc. for this chapter.
- Drawing correct figure (even in clean sketch form) is very important for this chapter.
- 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.
- 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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