. The area of the region bounded by the curve (y = x + 1 ) and the lines (x = 2 ) and (x = 3 ) is ( 2 ) sq units ( 2 ) sq units ( 2 ) sq units ( 2 ) sq units Correct Option (a)

From the figure, are of the shaded region, (A = 2 3 (x + 1) dx = 2 3 = = 2 ) sq. units

Application of Integrals — Class 12 Maths Solution

exemplar la LA NCERT Exemp. Ex. 1.3, Q. 33, Page 178

Question

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

• $\frac{7}{2}$ sq units

• $\frac{9}{2}$ sq units

• $\frac{{11}}{2}$ sq units

• $\frac{{13}}{2}$ sq units

Correct Option (a)

Step-by-step Solution

From the figure, are of the shaded region,

$A = \int_2^3 {(x + 1)} dx = \left[ {\frac{{{x^2}}}{2} + x} \right]_2^3 = \left[ {\frac{9}{2} + 3 - \frac{4}{2} - 2} \right] = \frac{7}{2}$ sq. units

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Application of Integrals. Curated by Sachin Sharma. Free for all students.