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Find the area of the region bounded by the following curves, X-axis and the given lines : x = 2y, y = 0, y = 4 - Mathematics and Statistics

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Question

Find the area of the region bounded by the following curves, X-axis and the given lines: x = 2y, y = 0, y = 4

Sum
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Solution

Required area = `int_0^4 x*dy, "where"  x = 2y`

= `int_0^4 2y*dy`

= `[(2y^2)/2]_0^4`

= 16 – 0
= 16 sq units.

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Area Bounded by the Curve, Axis and Line
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Chapter 5: Application of Definite Integration - Exercise 5.1 [Page 187]

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