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Application of Integrals
NCERT Class 12
CBSE
Grade 12
Question:
Find the area bounded by the curve $y = \cos x$ between $x = 0$ and $x = 2\pi$.
Step-by-Step Solution
$\text{Area} = 4 \int_0^{\pi/2} \cos x dx$. [1.0 Mark]
$= 4 [\sin x]_0^{\pi/2} = 4$ sq. units. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Splitting curve across positive and negative loops: 1.0 Mark
Evaluating total area $= 4$ sq. units: 1.0 Mark
Correct Answer:
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