Q18 of 25 Page 8

Find the area of the smaller region bounded by the ellipse and the line .


Given; the ellipse and the line


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






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Using integration find the area of the region bounded by the line x – y + 2 = 0, the curve and y-axis.

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Find the area of the region {(x, y): 0 ≤ y ≤ x2 + 1, 0 ≤ y ≤ x + 1, 0 ≤ x ≤ 2}.

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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.

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Using integration, find the area of the triangle formed by the positive x-axis and tangent and normal to the circle x2 + y2 = 4 at (1, √3).