Find the range of the function f of x equals the integral from 0 to x of the square root of the quantity 36 minus t squared dt

Question

Find the range of the function 

a. [-6, 6]

b. [0, 6]

c. [0, 9π]

d. [0, 18π]

Answer 1

This is the area of the "truncated" quarter circle of radius 6. The total area of the quarter-circle is 9π. Thus, the range is c).