JEE Main 202628 Jan, Morning shiftMathematicsEasyIntegral Calculus369× since 2002The area of the region R={(x,y):xy≤8, 1≤y≤x2, x≥0}R=\{(x,y): xy\le 8,\ 1\le y\le x^2,\ x\ge 0\}R={(x,y):xy≤8, 1≤y≤x2, x≥0} isAOption A. 13(40loge(2)+27)\frac{1}{3}(40\log_e(2)+27)31(40loge(2)+27)BOption B. 23(24loge(2)−7)\frac{2}{3}(24\log_e(2)-7)32(24loge(2)−7)COption C. 23(20loge(2)+9)\frac{2}{3}(20\log_e(2)+9)32(20loge(2)+9)DOption D. 13(49loge(2)−15)\frac{1}{3}(49\log_e(2)-15)31(49loge(2)−15)CheckSkip · show solution