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authorSomnath Pandit2020-05-26 14:38:07 +0530
committerSomnath Pandit2020-05-26 14:38:07 +0530
commita92ab419ce219a9bab4bbe03ea0f8be004e640ea (patch)
tree7c698a5b6b21e0174635a69ae609465a1bc8cac1 /FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/non_rect_region.py
parentf26d34f6f654c5070fd62b92c8bb59f9e5b00762 (diff)
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renamed files
Diffstat (limited to 'FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/non_rect_region.py')
-rw-r--r--FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/non_rect_region.py154
1 files changed, 0 insertions, 154 deletions
diff --git a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/non_rect_region.py b/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/non_rect_region.py
deleted file mode 100644
index 793a000..0000000
--- a/FSF-2020/calculus-of-several-variables/integrals-of-multivariable-functions/double-integrals/non_rect_region.py
+++ /dev/null
@@ -1,154 +0,0 @@
-from manimlib.imports import *
-
-class AreaUnderCurve(GraphScene):
- CONFIG = {
- "x_min" : -1,
- "x_max" : 8,
- "y_min" : -1,
- "y_max" : 5,
- "y_axis_label": "$y$",
- "x_tick_frequency" : 1,
- "y_tick_frequency" : 1,
- "x_labeled_nums": list(np.arange(-1, 9)),
- "y_labeled_nums": list(np.arange(-1, 6)),
- "y_axis_height":5.5,
- "graph_origin": ORIGIN+4*LEFT+2.5*DOWN,
- }
-
- def construct(self):
- X = RIGHT*self.x_axis_width/(self.x_max- self.x_min)
- Y = UP*self.y_axis_height/(self.y_max- self.y_min)
-
- sofar_text=TextMobject(r"So far we have integrated over \\ rectangular regions")
- self.play(Write(sofar_text))
- self.play(sofar_text.to_edge,UP)
-
- self.setup_axes(animate=False)
-
- rect= self.get_graph(
- lambda x : 3,
- x_min = 0,
- x_max = 5,
- color = GREEN)
-
- rect_region = self.get_riemann_rectangles(
- rect,
- x_min = 0,
- x_max = 5,
- dx =.01,
- start_color = GREEN,
- end_color = GREEN,
- fill_opacity = 0.75,
- stroke_width = 0,
- )
-
- self.play(ShowCreation(rect_region))
- self.wait(.5)
-
- rect_int=TextMobject(r"Here the integration limits are set as").to_edge(UP)
- rect_lim=TextMobject(r"$$\int_{x=0}^{5}\int_{y=0}^{3}$$").next_to(rect_int,DOWN)
- const_text=TextMobject(r"$\longleftarrow $ \textsf the limits are\\ constant values").next_to(rect_lim,RIGHT)
-
- self.play(ReplacementTransform(sofar_text,rect_int))
- self.wait(1.5)
- self.play(FadeIn(rect_lim))
- self.wait(2)
- self.play(Write(const_text))
- self.wait(2)
- self.play(FadeOut(rect_int), FadeOut(rect_lim),FadeOut(const_text))
-
-
- non_rect_text=TextMobject(r"Now we see how to integrate over \\ non-rectangular regions")
- non_rect_text.to_edge(UP)
- self.play(Write(non_rect_text))
- self.wait(1.5)
- self.play(FadeOut(rect_region))
-
- c1= self.get_graph(
- lambda x : x**2/4,
- x_min = 0,
- x_max = 4,
- color = RED)
-
- c1_region = self.get_riemann_rectangles(
- c1,
- x_min = 0,
- x_max = 4,
- dx =.01,
- start_color = BLUE,
- end_color = BLUE,
- fill_opacity = 0.75,
- stroke_width = 0,
- )
- self.add(c1,c1_region)
- # self.wait(2)
-
- c2= self.get_graph(
- lambda x :12-2*x,
- x_min = 4,
- x_max = 6,
- color = RED)
-
- c2_region = self.get_riemann_rectangles(
- c2,
- x_min = 4,
- x_max = 6,
- dx =.01,
- start_color = BLUE,
- end_color = BLUE,
- fill_opacity = .75,
- stroke_width = 0,
- )
- self.add(c2_region,c2)
- self.wait(1.5)
- c=VGroup(*[c1,c2])
-
- no_func_text=TextMobject(r"The whole region can't be expressed as\\ bounded by a single $f(x)$").next_to(c2,UP,buff=LARGE_BUFF)
-
- self.play(ReplacementTransform(non_rect_text,no_func_text))
- self.wait(1)
- self.play(Indicate(c))
- self.wait(2)
-
- div_region_text=TextMobject(r"So the region is divided into two").next_to(c2,UP,buff=MED_LARGE_BUFF)
- self.play(ReplacementTransform(no_func_text,div_region_text))
-
- c2.set_color(YELLOW)
- self.play(c2_region.set_color,YELLOW)
- c1_text=TextMobject("$\dfrac{x^2}{4}$").next_to(c1,IN)
- c2_text=TextMobject("$12-2x$").next_to(c2,IN+2*X)
- c_text=VGroup(*[c1_text,c2_text])
-
- self.play(FadeIn(c_text))
- self.wait(.4)
- self.play(Indicate(c1),Indicate(c1_text))
- self.play(Indicate(c2),Indicate(c2_text))
-
- easy_text=TextMobject(r"Now the limis can be set easily").next_to(c2,UP,buff=.5)
- self.play(ReplacementTransform(div_region_text,easy_text))
-
- c1_int=TextMobject(r"$$\int_{x=0}^{4}\int_{y=0}^{\dfrac{x^2}{4}}$$").next_to(c1,IN).shift(.5*(-X+1.3*Y))
- c2_int=TextMobject(r"$$\int_{x=4}^{6}\int_{y=0}^{12-2x}$$").next_to(c2,IN+X)
-
- self.play(ReplacementTransform(c1_text,c1_int),ReplacementTransform(c2_text,c2_int))
- self.wait(2)
-
- total_int=TextMobject(r"The total integraton= ").to_edge(UP)
- plus=TextMobject("$$+$$").move_to(self.graph_origin+4*X+4.8*Y)
- self.play(ReplacementTransform(easy_text,total_int))
- self.play(c2_region.set_color,BLUE)
- self.play(c1_int.next_to,c1,.1*UP, c2_int.next_to,plus,RIGHT, FadeIn(plus))
-
- region=VGroup(*[c1_region,c2_region])
- region.set_color(GREEN)
- self.play(ShowCreation(region))
- self.wait(3)
-
-
-
-#uploaded by Somnath Pandit.FSF2020_Double_Integral
-
-
-
-
-