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Question
Find the area of the region bounded by the parabola x2 = 4y and The X-axis and the line x = 1, x = 4
Solution
Given equation of the parabola is x2 = 4y.
Required area = `int_1^4 y "d"x`
= `int_1^4 x^2/4 "d"x`
= `1/4[x^3/3]_1^4`
= `1/12(4^3 - 1^3)`
= `1/12(64 - 1)`
= `63/12`
= `21/4` sq.units
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