Definite Integral as Limit

Consider the function $f(x) = e^{-x^2}$ defined on the interval $[0, 2]$. (a) Explain how the definite integral $\int_{0}^{2} e^{-x^2} dx$ c…

The area under the curve $y = f(x)$ between $x = a$ and $x = b$ can be approximated using $n$ rectangles of equal width. State the expressio…