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Question
Find the area of the region bounded by the curve y = x2, and the lines x = 1, x = 2, and y = 0.
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Solution
Given:
y = x2, x = 1, x = 2, y = 0
Let A be the required area
Area of region = `int_1^2 ydx`
= `int_1^2 x^2dx`
= `[x^3/3]_1^2`
= `1/3`[23 - 13]
= `1/3`[8 - 1]
= `7/3`
Therefore, the required area = `7/3` square units.
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