JEE Mains · Maths · STD 12 - 8. Application and integration
If the area of the region
\(\left\{(x, y):\left|4-x^2\right| \leq y \leq x^2, y \leq 4, x \geq 0\right\}\)
is \(\left(\frac{80 \sqrt{2}}{\alpha}-\beta\right), \boldsymbol{\alpha}, \boldsymbol{\beta} \in \mathbf{N}\), then \(\alpha+\beta\) is equal to _______.
- A 21
- B 23
- C 22
- D 24
Answer & Solution
Correct Answer
(C) 22
Step-by-step Solution
Detailed explanation
\(\mathrm{A}=\int_0^4 \sqrt{4+\mathrm{y}} \mathrm{dy}-\int_0^2 \sqrt{4-\mathrm{y}} \mathrm{dy}-\int_2^4 \sqrt{\mathrm{y}} \mathrm{dy}\)…
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