class 12 maths application of integrals

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

• 4 sq units

• $\frac{3}{2}$ sq units

• 6 sq units

• 8 sq units

Correct Option (c)

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📘 Application of Integrals NCERT Exemp. Ex. 1.3, Q. 34, Page 178 LA

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

• 4 sq units

• $\frac{3}{2}$ sq units

• 6 sq units

• 8 sq units

Correct Option (c)

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

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

From the figure, are of the shaded region,
$A = \int_{ - 1}^1 {(2y + 3)} dy = \left[ {{y^2} + 3y} \right]_{ - 1}^1 = [1 + 3 - 1 + 3] = 6$ sq. units.

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