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

class 12 maths application of integrals

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)

VAVidaara Admin Asked 8d ago 0 views 0 answers

📘 Application of Integrals NCERT Exemp. Ex. 1.3, Q. 28, Page 178 LA

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)

VVidaara Team ✓ Verified solution NCERT & Exemplar

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

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