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Question
The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is ______.
Options
4 sq.units
`3/2` sq units
6 sq.units
8 sq.units
Solution
The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is 6 sq.units.
Explanation:
Given equations of lines are x = 2y + 3, y = 1 and y = –1
Required area = `int_-1^1 (2y + 3) "d"y`
= `2 * 1/2 [y^2]_-1^1 + 3[y]_-1^1`
= `(1 - 1) + 3(1 + 1)`
= 6 sq.units
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`int_0^1x^2dx`
