JEE Mains · Maths · STD 12 - 8. Application and integration
The area (in sq. units) of the region \(\left\{(\mathrm{x}, \mathrm{y}) \in \mathrm{R}^{2}: \mathrm{x}^{2} \leq \mathrm{y} \leq 3-2 \mathrm{x}\right\},\) is
- A \(\frac{29}{3}\)
- B \(\frac{31}{3}\)
- C \(\frac{34}{3}\)
- D \(\frac{32}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{32}{3}\)
Step-by-step Solution
Detailed explanation
Area \(=\int_{-3}^{1}\left(3-2 x-x^{2}\right) d x=\frac{32}{3}\)
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