Limit Process to find Area between function and x-axis?

Question

Just checking my anwser to makes sure i'm doing the problem right.
Area between the function f(x) = x^2 - 2x + 3, on the interval [2,5]

I got 27

Change in x = 3/n
Xi = 2 + (3i/n)
f(Xi) = [2+(3i/n)]^2 - 2[2+(3i/n)] + 3

Answer 1

Yes, 27 is correct.

Answer 2

the essential denotes the shrink technique. subsequently, mandatory(x = a million to 4){(25 - x^2)dx} = (25x - x^3/3)(from a million to 4) = 25(4) - 4^3/3) - [25(a million) - a million^3/3] = one hundred - sixty 4/3 - [25 - a million/3] = a hundred and sixty/3.