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class mimi(GraphScene):
CONFIG = {
"y_max": 5,
"x_max": 6,
"x_min": 0,
"y_min": 0,
"x_axis_width": 5,
"y_axis_height": 5,
"init_dx":0.5,
"graph_origin": ORIGIN+2*DOWN+6*LEFT,
}
def construct(self):
self.setup_axes()
def func(x):
return 0.1*(x)*(x-3)*(x-7)+3
graph=self.get_graph(func,x_min=0,x_max=6)
kwargs = {
"x_min" : 1.5,
"x_max" : 5.5,
"fill_opacity" : 0.5,
"stroke_width" : 0.25,
}
flat_rectangles = self.get_riemann_rectangles(self.get_graph(lambda x : 0),dx=self.init_dx,**kwargs)
riemann_rectangles_list = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "right")
riemann_rectangles_list1 = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "left")
self.add(graph)
self.play(ReplacementTransform(flat_rectangles,riemann_rectangles_list[0]), ReplacementTransform(flat_rectangles,riemann_rectangles_list1[0]))
#self.play(ReplacementTransform(flat_rectangles,riemann_rectangles_list1[0]))
self.wait(2)
kwargs = {
"x_min" : 3,
"x_max" : 3.5,
"fill_opacity" : 0.5,
"stroke_width" : 0.25,
}
riemann_rectangles_list2 = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "right")
riemann_rectangles_list3 = self.get_riemann_rectangles_list(graph,8,max_dx=self.init_dx,power_base=2,start_color=PURPLE,end_color=ORANGE,**kwargs, input_sample_type = "left")
#self.play(FadeOut(riemann_rectangles_list[0]), FadeOut(riemann_rectangles_list1[0]))
self.play(ReplacementTransform(flat_rectangles,riemann_rectangles_list2[0]), ReplacementTransform(flat_rectangles,riemann_rectangles_list3[0]), FadeOut(riemann_rectangles_list[0]), FadeOut(riemann_rectangles_list1[0]))
minlim = self.get_vertical_line_to_graph(3,graph,DashedLine)
maxlim = self.get_vertical_line_to_graph(3.5,graph,DashedLine)
line2 = Line(self.graph_origin+2.5*RIGHT, self.graph_origin+2.9*RIGHT)
brace1 = Brace(minlim, LEFT)
brace2 = Brace(line2, DOWN)
brace3 = Brace(maxlim, RIGHT)
br1text = brace1.get_text(r"${M}_{i}$").next_to(brace1, LEFT)
br2text = brace2.get_text(r"$\Delta x$").next_to(brace2, DOWN)
br3text = brace3.get_text(r"${m}_{i}$").next_to(brace3, RIGHT)
text1 = TexMobject(r"\Delta x=(b-a)/n").shift(2*RIGHT)
grp3 = VGroup(br1text, br2text, br3text, brace1, brace2, brace3, text1)
self.play(ShowCreation(grp3))
self.wait(5)
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