Question

On Desmos, graph the function $f(x) = \frac{e^x}{x+1}$ and note its behavior (concavity, and increasing or decreasing) on the interval $[0, 2]$. Let LEFT($n$), RIGHT($n$), MID($n$) and TRAP($n$) denote, respectively, the left, right, midpoint and trapezoidal rule estimates with $n$ rectangles, of $\int_0^2 \frac{e^x}{x+1} dx$. Let EXACT denote the exact value of the integral. Arrange these values in increasing order by dragging each one from the list and dropping them in their correct positions in the chained inequality below. < < < < TRAP($n$) EXACT LEFT($n$) MID($n$) RIGHT($n$)

          On Desmos, graph the function $f(x) = \frac{e^x}{x+1}$ and note its behavior (concavity, and increasing or decreasing) on the interval $[0, 2]$. Let LEFT($n$), RIGHT($n$), MID($n$) and TRAP($n$) denote, respectively, the left, right, midpoint and trapezoidal rule estimates with $n$ rectangles, of $\int_0^2 \frac{e^x}{x+1} dx$. Let EXACT denote the exact value of the integral. Arrange these values in increasing order by dragging each one from the list and dropping them in their correct positions in the chained inequality below.
< < < < 
TRAP($n$) EXACT LEFT($n$) MID($n$) RIGHT($n$)

On Desmos, graph the function f(x) = (e^x)/(x+1) and note its behavior (concavity, and increasing or decreasing) on the interval [0, 2]. Let LEFT(n), RIGHT(n), MID(n) and TRAP(n) denote, respectively, the left, right, midpoint and trapezoidal rule estimates with n rectangles, of ∫0^2 (e^x)/(x+1) dx. Let EXACT denote the exact value of the integral. Arrange these values in increasing order by dragging each one from the list and dropping them in their correct positions in the chained inequality below.
< < < <
TRAP(n) EXACT LEFT(n) MID(n) RIGHT(n)

Added by Juan Carlos J.

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