Find the area of region bounded by the triangle whose vertices are (–1, 1), (0, 5) and (3, 2), using integration.

Question

Philoid · Accepted Answer

Given;

The triangle whose vertices are (–1, 1), (0, 5) and (3, 2).

Let P(−1,1), Q(0,5) and R(3,2)

⇒ Equation of PQ is

⇒ Equation of QR is

⇒ Equation of RP is

Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .

Required area