Chapter 8 – Application of Integrals NCERT Solutions

Chapter Overview:

Chapter 8, Application of Integrals, builds upon your understanding of definite integrals and teaches you how to apply them in practical geometry problems. The primary focus is on finding the area under curves and the area between two curves. These concepts are widely used in mathematics, physics, engineering, and data analysis.

This chapter is not only important for your CBSE board exams but also holds significant weight in competitive exams like JEE Main, where understanding applications of calculus is key.


What You’ll Learn in This Chapter:

  • Meaning and interpretation of area under a curve

  • Finding the area enclosed by a curve and the x-axis

  • Area between two curves

  • Application of definite integrals to solve geometric problems

  • Step-by-step evaluation using limits and properties of integrals


Why Use These NCERT Solutions:

Our NCERT Solutions for Chapter 8 provide comprehensive, step-by-step answers to each question in the textbook. With these solutions, students can:

  • Master the use of definite integrals in practical situations

  • Understand how to sketch and interpret curves

  • Learn to solve area-related problems with accuracy

  • Strengthen problem-solving skills through guided examples


Key Benefits:

  • Covers all exercises from NCERT Class 12 Maths Chapter 8

  • Clear explanations with graphs and diagrams where needed

  • Ideal for quick revision and in-depth practice

  • Free, easy-to-access, and mobile-friendly

  • Supports preparation for CBSE, JEE Main, and other exams