Question

Write a formula for a Riemann sum for the function f (x )equals 1089 minus x squared over the interval ​[0,33​].

Answer 1

Answer:

Area of 23958

Step-by-step explanation:

The Riemann sum is just the divide of a area into smaller areas and computing the sum of those areas. It is basically the integral of a function over an interval.

$\int\limits {1089-x^2} \, dx$

over the interval [0,33].

$\int\limits {1089-x^2} \, dx=1089x-(x^3)/3$

evaluate

$=0-1089\cdot{33}-(33^3)/3=35937-11979=23958$