JEE Mains · Maths · STD 12 - 8. Application and integration
The area (in sq. units) of the region
\(\left\{(x, y): 0 \leq \mathrm{y} \leq 2|x|+1,0 \leq \mathrm{y} \leq x^2+1,|x| \leq 3\right\}\) is
- A \(\frac{80}{3}\)
- B \(\frac{64}{3}\)
- C \(\frac{32}{3}\)
- D \(\frac{17}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{64}{3}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Area }=2\left[\int_0^2\left(x^2+1\right) d x+\frac{1}{2}[5+7] \times 1\right] \\ & =\frac{64}{3}\end{aligned}\)
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