Area of the region bounded by the curve (y = x ) between (x = 0 ) and (x = ) is 2 sq units 4 sq units 3 sq units 1 sq units Correct Option (a)

We have (y = x,x = 0 ) and (x = ) From the figure, area of the shaded region, (A = 0 | x|dx = 2 0 /2 xdx = 2[ x] 0 /2 = 2 )sq. units

Application of Integrals — Class 12 Maths Solution

exemplar la LA NCERT Exemp. Ex. 1.3, Q. 28, Page 178

Question

Area of the region bounded by the curve $y = \cos x$ between $x = 0$ and $x = \pi$ is

• 2 sq units

• 4 sq units

• 3 sq units

• 1 sq units

Correct Option (a)

Step-by-step Solution

We have $y = \cos x,x = 0$ and $x = \pi$

From the figure, area of the shaded region,
$A = \int_0^\pi | \cos x|dx = 2\int_0^{\pi /2} {\cos } xdx = 2[\sin x]_0^{\pi /2} = 2$sq. units

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