Using integration finds the area of the region bounded by the triangle whose vertices are ( 1, 0), (1, 3) - Maths - Application of Integrals

Question

Using integration finds the area of the region bounded by the
triangle whose vertices are (–1, 0), (1, 3) and (3, 2)

Gopal Mohanty · Accepted Answer

BL and CM are drawn perpendicular to x-axis It can be observed in the following figure that, Area (ΔACB) = Area (ALBA) + Area (BLMCB) – Area (AMCA) … (1)

Equation of line segment AB is

Equation of line segment BC is

Equation of line segment AC is

Therefore, from equation (1), we obtain Area (ΔABC) = (3 + 5 – 4) = 4 units

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