Question:medium
The area of the region
\[
R=\{(x,y): xy\le 8,\; 1\le y\le x^2,\; x\ge 0\}
\]
is:
The area of the region
\[
R=\{(x,y): xy\le 8,\; 1\le y\le x^2,\; x\ge 0\}
\]
is:
Show Hint
When a region has two possible upper boundaries, always split the integral at their point of intersection.
Updated On: Mar 5, 2026
- \( \dfrac{2}{3}(20\log_e 2+9) \)
- \( \dfrac{1}{3}(40\log_e 2+27) \)
- \( \dfrac{1}{3}(49\log_e 2-15) \)
- \( \dfrac{2}{3}(24\log_e 2-7) \)
Show Solution
The Correct Option is D
Solution and Explanation
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