jstokes2712 jstokes2712
  • 15-01-2020
  • Mathematics
contestada

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

Respuesta :

EamonnAdams1992 EamonnAdams1992
  • 16-01-2020

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.

[tex]\int\limits {1089-x^2} \, dx[/tex]

over the interval [0,33].

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

evaluate

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

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