Using integration, find the area of the region bounded by the triangle whose sides are `y = 2x + 1, y = 3x + 1 and x = 4`.

(a) Using integration, find the area of the region bounded by the triangle whose sides are : (iv) 2x+y=4, 3x-2y=6 and x-3y+5=0.

(a) Using integration, find the area of the region bounded by the triangle whose sides are : (i) 3x-y-3=0, 2x+y-12=0, x-2y-1=0.

(a) Using integration, find the area of the region bounded by the triangle whose sides are : (ii) 5x-2y-10=0, x+y-9=0, 2x-5y=0.