Using integration, find the area of the region bounded by :
(i)` (1,0), (4,5) and (6,3)`
(ii) `(1,0) ,(2,2) and (3,1)`
(iii)` (-1,2), (1,5) and (3,4)`
(iv) `(2,3), (3,5) and (3,4)`
(v) `(-1,0) ,(1,3) and (3,2)`
(vi) `(1,3) , (2,5) and (3,4)`
(vii) ` (4,1), (6,6) and (8,4)`
(viii) `(2,5), (4,7) and (6,2)`
(ix) `(-2,1) ,(0,4) and (2,3)`
(x) `(2,1), (3,4) and (5,2).`

Answer

`(i) 7 (ii) 3/2 (iii) 4 (iv) 3/2 (v) 4 (vi) 3/2 (vii) 7 (viii)7 (ix)4 (x)4` (sq. units).