Chapter 8: Application of Integrals

Important Questions

1. Using integration, find the area of region bounded by the triangle whose vertices are (–2, 1), (0, 4) and (2, 3).

2. Using the method of integration find the area of the region bounded by the lines 3x – 2y + 1 = 0, 2x + 3y – 21 = 0 and x – 5y + 9 = 0.

3. Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x +1 and x = 4

4. 4. Using the method of integration, find the area of the lines 3x – 2y + 1 = 0, 2x + 3y – 21 = 0 and x – 5y + 9 = 0.

5. Using integration, find the area of the region bounded by the triangle whose vertices are (–1, 2), (1, 5) and (3, 4).

Sample Questions

1. Using integration, find the area of the region bounded by the lines y = 2 + x, y = 2 – x and x = 2

2. Using the method of integration, find the area of the triangular region whose vertices (2, – 2), (4, 3) are and (1, 2).

3. Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4, 1), B (6, 6) and C (8, 4).