CBSE 2025 · Region 2 · Set 1 · Q32 · 5 marks
Using integration, find the area of the region bounded by the line $\displaystyle \mathrm{y}=5 x+2$, the $\displaystyle x$-axis and the ordinates $\displaystyle x=-2$ and $\displaystyle x=2$.
Marking-scheme solution
$\displaystyle y = 5x + 2$The required area\[= \left|\int_{-2}^{-\frac{2}{5}} (5x+2)\,dx\right| + \int_{-\frac{2}{5}}^{2} (5x+2)\,dx\]\[= \left|\left[\frac{(5x+2)^2}{10}\right]_{-2}^{-\frac{2}{5}}\right| + \left[\frac{(5x+2)^2}{10}\right]_{-\frac{2}{5}}^{2}\]\[= \frac{64}{10} + \frac{144}{10} = \frac{104}{5}\]Application of IntegralsArea under Simple CurvesApplylong_answermedium
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CBSE Class 12 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.