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  • Find the area under the given curves and given lines: (i) y = x^2, x = 1, x = 2 and x-axis

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

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

Answers (1)

best_answer

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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