Fix x_range slicing in get_area_under_graph to prevent TypeError

[mathsvisualization]

Motivation

Fix a bug in get_area_under_graph where passing the full graph.x_range
to inverse_interpolate could cause a TypeError:

TypeError: inverse_interpolate() takes 3 positional arguments but 4 were given 

This happened when graph.x_range had more than 2 elements. Slicing the
x_range ensures that alpha bounds are calculated correctly and subgraphs
are created reliably.

Proposed changes

• Slice graph.x_range to only the first two elements when passing to inverse_interpolate: graph.x_range[:2].
• Preserve existing behavior for standard 2-element x_range.

Test

Code:

from manimlib import * class HelloWorldExample(InteractiveScene): def construct(self): # Setup plane = NumberPlane( x_range=(-4, 4), y_range=(0, 1.5, 0.5), width=14, height=5, background_line_style=dict( stroke_color=GREY_B, stroke_width=2, stroke_opacity=0.75 ) ) plane.to_edge(DOWN) plane.x_axis.add_numbers(num_decimal_places=1, excluding=[0]) plane.y_axis.add_numbers(font_size=24) self.add(plane) # graph graph = plane.get_graph(lambda x: np.exp(-x**2)) graph.set_stroke(BLUE, 2) self.add(graph) area = plane.get_area_under_graph(graph, x_range=[-1, 1]) area.scale(0.7) area.next_to(graph.pfp(0.65), UR) self.add(area)

Result:

• No TypeError occurs
• Area under the graph is filled correctly for both standard and extended x_ranges

Before:

After: