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# NCERT Solutions Class 12 Maths Chapter 8 Exercise 8.1 Application of Integrals

NCERT Solutions for class 12 maths chapter 8 exercise 8.1 application of integrals deals with two topics, that is, the area under simple curves as well as the area of the region bounded by a curve and a line. Students need to have an understanding of definite integrals along with the knowledge of curves such as parabolas, hyperbolas, circles, and ellipses as well as the corresponding formulas of the standard equations. The next point to focus on is the graphs of the figures. In order to solve the sums of the NCERT solutions class 12 maths chapter 8 exercise 8.1 kids must interpret the word problems correctly and translate them in the form of an illustration. This gives them a clear idea of the integration that needs to be performed and what are the limits of the definite integral.

The basic concept followed in finding the designated area using integration is that a small strip is taken of height y and width dx. This area is called the elementary area which is located at an arbitrary position within the region specified by some value of x between a and b. To find the complete area between these two points we integrate ydx with these specified limits. The Class 12 Maths NCERT Solutions Chapter 8 exercise 8.1 application of integrals proficiently delivers a good understanding of this concept using different types of questions. A link to the PDF files of these solutions can be found below:

**☛** Download NCERT Solutions Class 12 Maths Chapter 8 Exercise 8.1

**Exercise 8.1 Class 12 Chapter 8 **

### More Exercises in Class 12 Maths Chapter 8

- NCERT Solutions Class 12 Maths Chapter 8 Ex 8.2
- NCERT Solutions Class 12 Maths Chapter 8 Miscellaneous Ex

## NCERT Solutions Class 12 Maths Chapter 8 Exercise 8.1 Tips

NCERT solutions class 12 maths chapter 8 application of integrals requires a student to use his intellect to attempt the problems. Kids have to choose a vertical or horizontal area strip to integrate depending on what will be faster and easier to solve. They can only gauge this level of difficulty if they have drawn the figure correctly and they know how to manipulate the formula of a curve accordingly.

NCERT solutions class 12 maths chapter 8 exercise 8.1 has 13 questions that range from easy to medium level. While solving these problems students also have to be mindful of the quadrants in which the areas lie as this will result in a change of signs. Failure to do so will result in faulty answers.

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