Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant - Mathematics and Statistics
Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant
Given equation of the curve is y2 = 36x
∴ y = `+- sqrt(36x)`
∴ y = `6sqrt(x)` .....[∵ In first quadrant, y > 0]
Required area = `int_0^2 y "d"x`
= `int_0^2 6sqrt(x) "d"x`
= `4[(2)^(3/2) - 0]`
= `8sqrt(2)` sq.units
Concept: Area Bounded by the Curve, Axis and Line
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