Question

use the given partition and sample points to approximate the definite integral of…

Answer 1

We will employ the formula below:

$\begin{gathered} I=\sum ^{}_{}f(\epsilon_i)\Delta x \\ \text{ Where:} \\ \Delta x=1 \end{gathered}$

This formula gives us an approximate value of our integral.

Given:

$\int ^2_{-2}(x^2-2x+2)dx$

Thus, we have:

$I=-1^2-2(-1)+2\text{ + (0})^2-2(0)+2+\text{ (1})^2-2(1)+2+2^2-2(2)+2=10$

Ans = 10