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Mathematics · 2025 · 5 marks
CBSE 2025 · Region 5 · Set 3 · Q32
In a rough sketch, mark the region bounded by y =1+| x +1|, x =-2, x =2 and y =0. Using integration, find the area of the marked region.
In a rough sketch, mark the region bounded by $\displaystyle \mathrm{y}=1+|\mathrm{x}+1|, \mathrm{x}=-2$, $\displaystyle \mathrm{x}=2$ and $\displaystyle \mathrm{y}=0$. Using integration, find the area of the marked region.
Marking-scheme solution
Required area $\displaystyle = \int_{-2}^{-1}(-x)\,dx + \int_{-1}^{2}(x+2)\,dx$$\displaystyle = -\frac{1}{2}\,[x^2]_{-2}^{-1} + \left[\frac{1}{2}x^2 + 2x\right]_{-1}^{2}$$\displaystyle = 9$All Application of Integrals questions2025 question paperNCERT solutions: Application of IntegralsPractice Application of Integrals →
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.