Application of Integrals
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The area bounded by $y = e^x$, x-axis and ordinates $x = 0, x = 1$ is:
(a) $(e - 1) \text{ sq units}$
(b) $e \text{ sq units}$
(c) $(e + 1) \text{ sq units}$
(d) $1 \text{ sq unit}$
Step-by-Step Solution
\int_0^1 e^x dx = [e^x]_0^1 = e - 1. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $(e - 1) \text{ sq units}$: 1.0 Mark
Correct Answer: $(e - 1) \text{ sq units}$
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