update mean_value_theorem.qmd

some typos.

quarto/integrals/mean_value_theorem.qmd

@@ -76,7 +76,7 @@ plot!(x -> 2/pi)
 ##### Example
 
 
-What is the average value of the function $f$ which is $1$ between $[0,3]$, $2$ between $(3,5]$ and $1$ between $(5,6]$?
+What is the average value of the function $f$ which is $3$ between $[0,3]$, $2$ between $(3,5]$ and $1$ between $(5,6]$?
 
 
 Though not continuous, $f(x)$ is integrable as it contains only jumps. The integral from $[0,6]$ can be computed with geometry: $3\cdot 3 + 2 \cdot 2 + 1 \cdot 1 = 14$. The average then is $14/(6-0) = 7/3$.
@@ -185,7 +185,7 @@ Between $0$ and $2$ a function is constantly $1$. Between $2$ and $3$ the functi
 #| hold: true
 #| echo: false
 f(x) = x < 2 ? 1.0 : 2.0
-a, b= 0, 2
+a, b= 0, 3
 val, _ = quadgk(f, a, b)
 numericq(val/(b-a))
 ```