Find the area of the traingle whose vertices are (-1,1),(0,5) and (3,2), using integration.
Let A(-1,1), B(0,5),and c(3,2)
The equation of line AB is
The equation of line BC is
The equation of line CA is
The required area
solve
[from (1),(2) & (3)]
On applying limits:-
sq unit is
Hence the required area sq units