The area of the region bounded by the curve x = 2 y + 3 and the lines y = 1 , y = - 1 is:

Question

The area of the region bounded by the curve $x = 2 y + 3$ and the lines $y = 1, y = - 1$ is:

Smart Achievers · Accepted Answer

(3)

Ans. 6 sq. units

Explanation :

Required area, $A = \int_{- 1}^{1} (2 y + 3) d y$

$= {[\frac{2 y^{2}}{2} + 3 y]}_{- 1}^{1}$

$= {[y^{2} + 3 y]}_{- 1}^{1}$

$= (1 + 3) - (1 - 3)$

$= 4 - (- 2)$

$= 6 sq. units.$

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