Class 12 Maths Chapter 8: Applications of Integrals PYQs
Practice Application of Integrals through topic-wise previous year questions (2008-2026). These modules cover areas of simple curves, area between two curves, and triangle integration.
Revise how to choose limits, sketch the relevant curves, and interpret an integral as a geometric area. The topic pages progress from simple regions to areas between curves, triangle-based applications, and competency questions that test setup as well as calculation.
Topic-wise PYQ Practice
- 1. Area Under Simple Curves
- 2. Area Between Two Curves
- 3. Area of Triangles (Integration)
- 4. Case Study & Competency
Step-wise marking is strictly enforced across all 2-mark, 3-mark, and 5-mark subjective questions. Always quote standard algebraic identities or theorem statements before carrying out algebraic substitutions. For matrix operations and vector cross-products, clearly tabulate intermediate matrix rows and components to guarantee full partial credit even if a minor arithmetic slip occurs in the final step.
CBSE Class 12 Chapter 8: Applications of Integrals Blueprint & Exam Strategy
Marks Weightage: Unit III: Calculus (Contributes 4 to 6 Marks). Question blueprint: Almost always appears as a 3-Mark short answer or a 5-Mark long answer problem requiring students to sketch a bounded geometric region (circle, ellipse, parabola, lines) and calculate the enclosed area using single integration.
Examiner Advice: In CBSE evaluations, 1 to 1.5 marks are allocated strictly for drawing a neat, properly labelled coordinate sketch showing points of intersection. State whether you are integrating with respect to x (vertical strips: y dx) or y (horizontal strips: x dy) and clearly indicate symmetry multiplication factors.