JEE Main 2017Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002The area (in sq. units) of the region {(x,y):x≥0,x+y≤3,x2≤4y and y≤1+x}\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \sqrt x } \right\}{(x,y):x≥0,x+y≤3,x2≤4yandy≤1+x} isAOption A. 32{3 \over 2}23BOption B. 73{7 \over 3}37COption C. 52{5 \over 2}25DOption D. 5912{59 \over 12}1259CheckSkip · show solution