Application of Integrals
NCERT Class 12
CBSE
Grade 12
Question:
Find area of the region bounded by $y = |x + 1| + 1, x = -3, x = 3$ and $y = 0$.
Step-by-Step Solution
Split at $x = -1$: $\int_{-3}^{-1} (-x) dx + \int_{-1}^3 (x+2) dx$. [1.0 Mark]
$= 4 + 12 = 16$ sq. units. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Splitting integral at $x = -1$: 1.0 Mark
Evaluating area $= 16$ sq. units: 1.0 Mark
Correct Answer:
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