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Question -

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



Answer -

BL and CM are drawnperpendicular to x-axis.

It can be observed inthe following figure that,

Area (ΔACB) = Area(ALBA) + Area (BLMCB) – Area (AMCA) … (1)

Equation of line segmentAB is

Equation of line segmentBC is

Equation of line segmentAC is

Therefore, from equation(1), we obtain

Area (ΔABC) = (3 + 5 –4) = 4 units

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