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authorPurusharth S2020-05-23 18:57:11 +0530
committerPurusharth S2020-05-23 18:57:11 +0530
commitfe5e18510140b3e02f3f6f03ad449c218f1b8579 (patch)
treea3d204b56e34d19c6d7ddfaeaf8136faaff1f298 /FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py
parent94c40fe490487efcba7c3cc9df0153e86bcab26a (diff)
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Diffstat (limited to 'FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py')
-rw-r--r--FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py73
1 files changed, 0 insertions, 73 deletions
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py
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index 773840c..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/area_under_func.py
+++ /dev/null
@@ -1,73 +0,0 @@
-from manimlib.imports import *
-
-
-class AreaUnderIntegral(GraphScene):
- CONFIG = {
- "x_min" : 0,
- "x_max" : 5,
- "y_min" : 0,
- "y_max" : 6,
- "Func":lambda x : 1+x**2*np.exp(-.15*x**2)
- }
-
- 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)
-
- int_area_sym=TextMobject("$$\int_{a}^b f(x)dx$$").shift(2*UP)
- area_mean_text = TextMobject(r"means area under the curve of $f(x)$ \\ in the region $a\leq x\leq b$").next_to(int_area_sym,DOWN)
-
- opening_text=VGroup(*[int_area_sym,area_mean_text])
- self.play(Write(opening_text),run_time=4)
- self.wait(2)
- self.play(FadeOut(opening_text))
-
- self.setup_axes(animate=True)
- func= self.get_graph(self.Func, x_min=0,x_max=5)
- self.curve=func
-
- func_text = TextMobject(r"$y = f(x)$").next_to(func,UP)
- min_lim = self.get_vertical_line_to_graph(1,func,DashedLine,color=YELLOW)
- tick_a=TextMobject(r"$a$").next_to(min_lim,DOWN)
- max_lim = self.get_vertical_line_to_graph(4,func,DashedLine,color=YELLOW)
- tick_b=TextMobject(r"$b$").next_to(max_lim,DOWN)
-
- # area = self.get_area(func,1,4)
-
- self.play(ShowCreation(func), ShowCreation(func_text))
-
- self.wait(2)
- self.play(ShowCreation(min_lim),Write(tick_a), ShowCreation(max_lim),Write(tick_b),run_time=0.5)
-
-
- approx_text=TextMobject(r"The area can be approximated as \\ sum of small rectangles").next_to(func,4*Y)
- self.play(Write(approx_text))
-
- rect_list = self.get_riemann_rectangles_list(
- self.curve, 5,
- max_dx = 0.25,
- x_min = 1,
- x_max = 4,
- )
- flat_graph = self.get_graph(lambda t : 0)
- rects = self.get_riemann_rectangles( flat_graph, x_min = 1, x_max = 4, dx = 0.5)
- for new_rects in rect_list:
- new_rects.set_fill(opacity = 0.8)
- rects.align_submobjects(new_rects)
- for alt_rect in rects[::2]:
- alt_rect.set_fill(opacity = 0)
- self.play(Transform(
- rects, new_rects,
- run_time = 1.5,
- lag_ratio = 0.5
- ))
- conclude_text=TextMobject(r"Making the rectangles infinitesimally thin \\ we get the real area under the curve.").next_to(func,4*Y)
- self.play(Transform(approx_text,conclude_text))
- self.wait(3)
- int_area_sym.next_to(self.curve,IN)
- self.play(Transform(conclude_text,int_area_sym))
-
- # self.play(ShowCreation(area))
- self.wait(3)
-
-#uploaded by Somnath Pandit.FSF2020_Double_Integral