NCERT Solutions for class 12 Maths Chapter 8 Exercise 8.1, 8.2 & miscellaneous exercises of Application of integrals in PDF form to free download. Class 12 * NCERT solutions* for other subjects (Physics, Chemistry, Biology, Physical Education, Business studies, etc.) are also available in PDF e-books to download. download CBSE Board exam papers with solutions.

## NCERT Solutions for class 12 Maths Chapter 8

### Application of Integrals – NCERT solutions class 12 Maths

**NCERT Chapter to study online and answers given in the end of ncert books.**

**NCERT Chapter to study online and answers given in the end of ncert books.**

*These books are very good for revision and more practice. These book are also confined to NCERT Syllabus.*

*These books are very good for revision and more practice. These book are also confined to NCERT Syllabus.*

**Assignments for practice**

**Assignments for practice**

#### Previous year’s questions

- Using integration, find the area of region bounded by the triangle whose vertices are (-2, 1), (0, 4) and (2, 3). [Delhi 2017]
- Find the area bounded by the circle x^2 + y^2 = 16 and the line √3 y = x in the first quadrant, using integration. [Delhi 2017]
- Find the area of the region bounded by the y-axis, y = cos x and y = sin x, x lies in [0, π/2]. [CBSE Sample Paper 2017]
- Using integration find the area of the region {(x, y): x^2 + y^2 ≤ 2ax, y^2 ≥ ax, x, y ≥ 0}. [Delhi 2016]
- Using integration, find the area bounded by the tangent to the curve 4y = x^2 at the point (2, 1) and the lines whose equations are x = 2y and x = 3y – 3. [CBSE Sample Paper 2016]
- Find the area of the region in the first quadrant enclosed by the y-axis, the line y = x and the circle x^2 + y^2 = 32, using integration. [Delhi 2015C]
- Using integration find the area of the triangle formed by positive x-axis and tangent and normal to the circle x^2 + y^2 = 4 at (1, √3). [Delhi 2015]
- Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^2 + y^2 = 32. [Delhi 2014]
- Using integration, find the area bounded by the curve x^2 = 4y and the line x = 4y – 2. [Delhi 2013]
- Using integration, find the area of the region enclosed between the two circles x^2 + y^2 = 4 and (x – 2)^2 + y^2 = 4. [Delhi 2013]