The area of the region x , y : x 2 ≤ y ≤ 8 - x 2 , y ≤ 7 is

Step-by-step solution

The given curves are x 2 ≤ y ,   y ≤ 8 - x 2   and   y ≤ 7 The point of intersection of the curves x 2 ≤ y   and   y ≤ 8 - x 2 is obtained by, ⇒ x 2 = 8 - x 2 ⇒ x = ± 2 and y = 4 . Hence the points are 2 , 4 , - 2 , 4 . The points of intersection of the curves y ≤ 8 - x 2   and   y ≤ 7 is obtained by, ⇒ 8 - x 2 = 7 ⇒ x = ± 1 and y = 7 Hence the points are 1 , 7 , - 1 , 7 . The required graph is The require