The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is ______.

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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 * $\frac{1}{2}$ [y^2]_-1^1 + 3[y]_-1^1 = (1 - 1) + 3(1 + 1)` = 6 sq.units [Solution diagram: 251760_solution_1.png]

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