Using integration, find the area of the triangular region whose sides have the equations y = 2 x + 1, y = 3 x + 1 and x = 4.
Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 1), (0, 5) and (3, 2).
Using integration, find the area of the region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).
Using integration find the area of region bounded by the triangle whose vertices are (-1, 0), (1, 3) and (3, 2).
Let A(-1, 0), B(1, 3), C(3, 2) be the vertices of the given triangle.Â
The equation of AB is
         Â
or                 ...(1)
The equation of BC is
          Â
or        Â
or                      ...(2)
The equation of CA is
         Â
or           ...(3)
From B, draw BM ⊥ x-axis and from C, draw CN ⊥ x-axis.
Required area = Area of ∆ABC
= Area of  + area of region BMNC - area ofÂ