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Q : 1        Find the area under the given curves and given lines:

                (i) \small y=x^2,x=1,x=2  and \small x-axis

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The area bounded by the curve \small y=x^2,x=1,x=2  and \small x-axis

The area of the required region = area of ABCD
                                                   \\=\int_{1}^{2}ydx\\ =\int_{1}^{2}x^2dx\\ =[\frac{x^3}{3}]_1^2\\ =\frac{7}{3}
Hence the area of shaded region is 7/3 units

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manish

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