Question

Question deleted.

Answer 1

u may use the geometry :

integral between x=-r to r is same as the area of circle \(\pi r^2\)

Answer 2

x = (-5 + 4) / 2
x = -1/2

y = (1 - 8) / 2
y = -7/2

center is
(-1/2, -7/2)

(x - (-1/2))^2 + (y - (-7/2))^2 = r^2
(x + 1/2)^2 + (y + 7/2)^2 = r^2

find the distance of the diameter and divide by 2 for the radius

d = √[(-5 - 4)^2 + (1 - (-8))^2]
d = √(81 + 81)
d = √162
d = 9√2

r = 9√2/2

r^2 = 162/4
r^2 = 81/2

(x + 1/2)^ + (y + 7/2)^2 = 81/2

Answer 3

how would you integrate (x + 1/2)^ + (y + 7/2)^2 = 81/2 ?