JEE Main 20231 Feb, Evening shiftMathematicsMediumIntegral Calculus369× since 2002The area of the region given by {(x,y):xy≤8,1≤y≤x2}\{ (x,y):xy \le 8,1 \le y \le {x^2}\}{(x,y):xy≤8,1≤y≤x2} is :AOption A. 16loge2−14316{\log _e}2 - {{14} \over 3}16loge2−314BOption B. 8loge2−1338{\log _e}2 - {{13} \over 3}8loge2−313COption C. 16loge2+7316{\log _e}2 + {7 \over 3}16loge2+37DOption D. 8loge2+768{\log _e}2 + {7 \over 6}8loge2+67CheckSkip · show solution