Application of Integrals
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The area bounded by $y = x|x|$, x-axis and ordinates $x = -1, x = 1$ is:
(a) $2/3 \text{ sq units}$
(b) $1/3 \text{ sq unit}$
(c) $4/3 \text{ sq units}$
(d) $0 \text{ sq units}$
Step-by-Step Solution
Area = \int_{-1}^0 -x^2 dx + \int_0^1 x^2 dx = 1/3 + 1/3 = 2/3. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $2/3 \text{ sq units}$: 1.0 Mark
Correct Answer: $2/3 \text{ sq units}$
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