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Question
Find the area under the given curve and given line:
y = x2, x = 1, x = 2 and x-axis
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Solution
The vertex of the parabola y = x2 is (0, 0). The line OY is symmetric.
Area of the region bounded by y = x2, x = 1, x = 2 and x-axis
= Area of the region PLMQ
`int_1^2 y dx = int_1^2 x^2 dx`
`= [x^3/3]_0^2`
`= 8/3 - 1/3`
`= 7/3` square unit
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