Application of Integrals 3 marks Questions, CBSE Class 12 PYQs 2024–2026

1 different 3 marks questions on Application of Integrals from CBSE Class 12 Maths board exams 2024–2026, newest first.

Q313 marksShort AnswerApplication of Integrals CBSE 2025 · 65/1/1

Sketch the graph of y = $∣ x + 3∣$ and find the area of the region enclosed by the curve, $x$ -axis, between $x = - 6$ and $x = 0$ , using integration.

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Answer: 9 sq units

The graph is a V with vertex at $(- 3, 0)$ : $y = - (x + 3)$ for $x < - 3$ and $y = x + 3$ for $x \geq - 3$ .
Area $= \int_{- 6}^{- 3} - (x + 3) d x + \int_{- 3}^{0} (x + 3) d x$ .
$= [- \frac{( x + 3 ) ^{2}}{2}]_{- 6}^{- 3} + [\frac{( x + 3 ) ^{2}}{2}]_{- 3}^{0} = \frac{9}{2} + \frac{9}{2} = 9$ sq units.

Also asked in: 2025 65/1/2, 2025 65/1/3

Application of Integrals: 3 marks Questions (CBSE Class 12)