Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) f(x) = 9 − x2, [−3, 3

Question

f(x) = 9 − x², [−3, 3]

Give the exact area obtained using a definite integral.

Answer 1

anywhere from 40.5 to 36 the exact area, depending on how many rectangles you use

do the definite integral and you get 36

do 2 rectangles to approximate you get 40.5

do a billion rectangles and you get virtually 36