Q. 145.0( 1 Vote )

Using integration, find the area of the region bounded by the following curves, after making a rough sketch: y = 1 + |x + 1|, x = -3, x = 3, y = 0. [CBSE 2014(C)]

Answer :

Given; y = 1 + |x + 1|, x = -3, x = 3, y = 0

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

= −4 + 4 + 6 + 2 = 8

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