The area (in sq. units) of the region A = { ( x , y ) : ( x - 1 ) [ x ] ≤ y ≤ 2 x , 0 ≤ x ≤ 2 } , where [ t ] denotes the greatest integer function, is :

Question

The area (in sq. units) of the region A = { ( x , y ) : ( x - 1 ) [ x ] &#8804; y &#8804; 2 x , 0 &#8804; x &#8804; 2 } , where [ t ] denotes the greatest integer function, is :

Aicharya · Accepted Answer

y = [ x ] ( x - 1 ) = 0 0 &#8804; x &#60; 1 x - 1 1 &#8804; x &#60; 2 Area = &#8747; 0 2 2 x &#183; d x - 1 2 ( 1 ) ( 1 ) = 4 x 3 / 2 3 0 2 - 1 2 = 8 2 3 - 1 2

The area (in sq. units) of the region A = { ( x , y ) : ( x - 1 ) [ x ] ≤ y ≤ 2 x , 0 ≤ x…

Solution

The area (in sq. units) of the region A = { ( x , y ) : ( x - 1 ) [ x ] &#8804; y &#8804; 2 x , 0 &#8804; x…

Solution

The area (in sq. units) of the region A = { ( x , y ) : ( x - 1 ) [ x ] ≤ y ≤ 2 x , 0 ≤ x…