use plotly; fix bitrot

quarto/integrals/arc_length.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using SymPy
 using QuadGK
 using Roots
@@ -69,6 +70,7 @@ To see why, any partition of the interval $[a,b]$ by $a = t_0 < t_1 < \cdots < t
 #| hold: false
 #| echo: false
 ## {{{arclength_graph}}}
+gr()
 function make_arclength_graph(n)
 
     ns = [10,15,20, 30, 50]
@@ -100,6 +102,7 @@ The arc length of the parametric curve can be approximated using straight line s
 
 """
 
+plotly()
 ImageFile(imgfile, caption)
 ```
 

quarto/integrals/area.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using QuadGK
 using Roots
 ```
@@ -75,7 +76,7 @@ In a previous section, we saw this animation:
 #| hold: true
 #| echo: false
 ## {{{archimedes_parabola}}}
-
+gr()
 
 f(x) = x^2
 colors = [:black, :blue, :orange, :red, :green, :orange, :purple]
@@ -126,7 +127,7 @@ caption = L"""
 The first triangle has area $1/2$, the second has area $1/8$, then $2$ have area $(1/8)^2$, $4$ have area $(1/8)^3$, ...
 With some algebra, the total area then should be $1/2 \cdot (1 + (1/4) + (1/4)^2 + \cdots) = 2/3$.
 """
-
+plotly()
 ImageFile(imgfile, caption)
 ```
 
@@ -188,6 +189,7 @@ Clearly for a given partition and choice of $c_i$, the above can be computed. Ea
 ```{julia}
 #| hold: true
 #| echo: false
+gr()
 rectangle(x, y, w, h) = Shape(x .+ [0,w,w,0], y .+ [0,0,h,h])
 function ₙ(j)
 	a = ("₋","","","₀","₁","₂","₃","₄","₅","₆","₇","₈","₉")
@@ -218,6 +220,7 @@ gif(anim, imgfile, fps = 1)
 
 caption = "Illustration of left Riemann sum for increasing ``n`` values"
 
+plotly()
 ImageFile(imgfile, caption)
 ```
 

quarto/integrals/area_between_curves.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using Roots
 using QuadGK
 using SymPy

quarto/integrals/center_of_mass.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using Roots
 using QuadGK
 using SymPy

quarto/integrals/ftc.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using SymPy
 using Roots
 using QuadGK
@@ -434,7 +435,7 @@ The value of $a$ does not matter, as long as the integral is defined.
 #| hold: true
 #| echo: false
 ##{{{ftc_graph}}}
-
+gr()
 function make_ftc_graph(n)
     a, b = 2, 3
     ts = range(0, stop=b, length=50)
@@ -471,7 +472,7 @@ end
 
 imgfile = tempname() * ".gif"
 gif(anim, imgfile, fps = 1)
-
+plotly()
 ImageFile(imgfile, caption)
 ```
 

quarto/integrals/improper_integrals.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using SymPy
 using QuadGK
 ```
@@ -27,7 +28,7 @@ To define integrals  with either functions having singularities or infinite doma
 #| hold: true
 #| echo: false
 ### {{{sqrt_graph}}}
-
+gr()
 function make_sqrt_x_graph(n)
 
     b = 1
@@ -58,7 +59,7 @@ end
 
 imgfile = tempname() * ".gif"
 gif(anim, imgfile, fps = 1)
-
+plotly()
 ImageFile(imgfile, caption)
 ```
 

quarto/integrals/integration_by_parts.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using SymPy
 ```
 

quarto/integrals/mean_value_theorem.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using QuadGK
 ```
 

quarto/integrals/substitution.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using SymPy
 
 ```

quarto/integrals/surface_area.qmd

@@ -10,6 +10,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using SymPy
 using QuadGK
 ```
@@ -549,7 +550,7 @@ numericq(val)
 ```{julia}
 #| hold: true
 #| echo: false
-
+gr()
 ## For **some reason** having this in the natural place messes up the plots.
 ## {{{approximate_surface_area}}}
 
@@ -582,5 +583,6 @@ Surface of revolution of $f(x) = 2 - x^2$ about the $y$ axis. The lines segments
 
 """
 
+plotly()
 ImageFile(imgfile, caption)
 ```

quarto/integrals/twelve-qs.qmd

@@ -5,6 +5,7 @@ This section uses these packages:
 ```{julia}
 using SymPy
 using Plots
+plotly()
 ```
 
 ----

quarto/integrals/volumes_slice.qmd

@@ -9,6 +9,7 @@ This section uses these add-on packages:
 ```{julia}
 using CalculusWithJulia
 using Plots
+plotly()
 using QuadGK
 using Unitful, UnitfulUS
 using Roots