NCERT Solutions Class 12 Maths Chapter 8 Application of Integrals

Chapter 8 of Class 12 Maths, Application of Integrals focuses on different applications of of integration, mainly, to find areas related to curves. This chapter explains how definite integrals are applied to calculate the area under simple curves, between two curves, and bounded by axes or lines. It helps students understand the practical use of integrals beyond formulas and calculations.

This page provides the NCERT Solutions which are prepared in accordance with the latest NCERT syllabus. The solutions are explained step by step in clear and simple language, helping Class 12 students visualise problems, apply correct limits, and solve questions accurately for board exams.

1.0Download NCERT Solutions Class 12 Maths Chapter 8 Application of Integrals : Free PDF

Application of Integrals is an important chapter that connects calculus with geometry. With NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals, students can practise area-based problems with clarity. Download the free PDF now to revise concepts and prepare confidently for exams.

2.0Key Concepts of Class 12 Maths Chapter 8 Application of Integrals

This chapter teaches how integrals are used to calculate areas in different regions. The key lessons included are:

• Area Under a Curve: Understanding how definite integrals are used to find the area between a curve and the x-axis.
• Area Between Two Curves: Learning to calculate the region enclosed between two given curves using correct limits.
• Choice of Axis and Limits: Identifying the correct axis of integration and setting proper limits for accurate results.
• Graphical Representation: Drawing rough graphs to understand bounded regions before applying integration formulas.
• Standard Curves and Lines: Solving problems involving straight lines, parabolas, and simple algebraic curves.

3.0Key Features and Benefits of Class 12 Maths Chapter 8 Application of Integrals

• Solutions explain each step clearly, helping students understand how areas are formed between curves.
• The solutions provide proper guidance on drawing graphs and selecting limits before applying integration.
• The solutions are aligned with the latest NCERT syllabus and cover all the textbook questions in the exercises of this chaper.
• Regularly practicing the solutions can hlep improve accuracy in solving application-based problems related to calculus.
• Strong understanding supports preparation for olympiads and competitive entrance examinations.
• Concept clarity helps students connect calculus with real geometric interpretations.