Q. 105.0( 2 Votes )

Find the area of

Answer :


Given;


y = |x – 1| and


y = 3 - |x|




By solving these conditions;


1 − x = 3 + x


x = −1


x − 1 = 3 − x


x = 2


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 =





= 8 sq.units


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