Concamibnatu Concamibnatu
  • 24-04-2017
  • Mathematics
contestada

Compute the upper riemann sum for the given function f(x=x^2 over the interval x?[?1,1] with respect to the partition p=[?1,?14,12,34,1].

Respuesta :

Hagrid
Hagrid Hagrid
  • 04-05-2017
We are given the function
f(x) = x^2
We are asked for the Upper Reimann sum over the interval [-1, 1]
with the partition
p = [-1, -1/4, 1/2, 3/4, 1]
The Upper Reimann sum is
(-1/4 - (-1))(-1)²+  (1/2 - (-1/4))(-1/4)² +  (3/4 - 1/2)(1/2)² + (1 - 3/4)(3/4)² = 1
The answer is 1
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