Respuesta :

Answer:

Explanation:

So the limit of the sum of that function was equal to 21/2 (work attached).

Now after solving the other integrals, we get the first is equal to 8 after solving, the second is equal to 39/2, the third is equal to 25/2, and the last one is equal to 21/2 (our answer). So [tex]\int\limits^5_2 {(x)} \, dx[/tex] is our answer.

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darwinvillar

Answer: The answer is option 4. [tex]\int\limits^2_5 {x} \, dx[/tex]

Explanation: It comes from simple observation. We get from the expression that

[tex]\Delta x=\frac{b-a}{n}[/tex], then [tex]\Delta x=\frac{3}{n}[/tex] in the expression given.

From that we get how much is, i.e.,    b-a = 3, and also

[tex]f(a+i\cdot \Delta x )=(2+ i \cdot \frac{3}{n} )[/tex],

which shows us that the function is      [tex]f(x)=x\\[/tex]   and the initial value a=2,

the only option from the possibilities that fulfills all of it is the option number 4, that is

[tex]\int\limits^2_5 {x} \, dx[/tex]

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