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Answer first
Application of Integrals PYQs (previous year questions) for CBSE Class 12: Application of Integrals (Mathematics) had 12 questions across the 50 official CBSE Class 12 papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 10 years. The concepts asked in the most papers: Area Under Curves, Area of Triangle, Area Between Curves.
Year-wise question count
Asked in 10 of 10 years.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Area Under Curves | 6 | 4 | 2026, 2025, 2024, 2018 |
| Area of Triangle | 4 | 4 | 2020, 2019, 2017, 2016 |
| Area Between Curves | 2 | 2 | 2023, 2022 |
How to practise Application of Integrals PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Application of Integrals questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.
CBSE Class 122026
CBSE Class 122025
CBSE Class 122024
- Q.34 (Mathematics (65/1/1)) · Long answer · Area Under Curves: Area of an ellipse between the lines x = -2 and x = 2 PDF
CBSE Class 122023
- Q.35 (Mathematics (65/1/1)) · Long answer · Area Between Curves: Area bounded by x^2 = y, y = x + 2 and the x-axis PDF
CBSE Class 122022
- Q.11 (Mathematics Term 2 (65/1/1)) · Long answer · Area Between Curves: Area of region inside an ellipse and above a line PDF
CBSE Class 122020
- Q.34 (Mathematics (65/1/1)) · Long answer II · Area of Triangle: Area of triangle with given vertices by integration PDF
CBSE Class 122019
- Q.26 (Mathematics (65/1/1)) · Long answer II · Area of Triangle: Area of triangle ABC with given vertices by integration PDF
CBSE Class 122018
- Q.26 (Mathematics (65/1)) · Long answer II · Area Under Curves: Area in first quadrant bounded by x-axis, y = x and a circle PDF
CBSE Class 122017
- Q.27 (Mathematics (65/1)) · Long answer II · Area of Triangle: Area of triangle ABC by integration PDF
CBSE Class 122016
- Q.23 (Mathematics (65/1/N)) · Long answer II · Area of Triangle: Area of a triangle with given vertices by integration PDF
Other Mathematics chapters
- Relations and Functions PYQs
- Inverse Trigonometric Functions PYQs
- Matrices PYQs
- Determinants PYQs
- Continuity and Differentiability PYQs
- Application of Derivatives PYQs
- Integrals PYQs
- Differential Equations PYQs
- Vector Algebra PYQs
- Three Dimensional Geometry PYQs
- Linear Programming PYQs
- Probability PYQs
FAQ
How many Application of Integrals questions come in CBSE Class 12?
In the official papers we tagged: 2 in 2026, 2 in 2025, 1 in 2024, 1 in 2023, 1 in 2022, 1 in 2020, 1 in 2019, 1 in 2018, 1 in 2017 and 1 in 2016. That is 12 questions in all, about 4% of Mathematics.
Which Application of Integrals topics repeat in CBSE Class 12?
Asked in the most papers: Area Under Curves, Area of Triangle, Area Between Curves. The concept table lists every one with its count.
Are these official CBSE Class 12 questions?
Yes. Every question is from an official CBSE Class 12 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.