Question
Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 2), (1, 5) and (3, 4).
Solution
Consider the vertices, A(-1, 2), B(1, 5) and C(3, 4).
Let us find the equation of the sides of the triangle 
Thus, the equation of AB is:
Now the area of 
= Area of 
+ Area of 
