calculate area between curves
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Tasneem Abed
el 11 de Jul. de 2023
Respondida: Anamika
el 17 de Jul. de 2023
how to calculate area between these two curves??
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1431503/image.jpeg)
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Chunru
el 11 de Jul. de 2023
Can you include your data? You may also want to clarify if you need to consider the negative area (blue above red region).
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Manan Jain
el 11 de Jul. de 2023
Hi!
You can use trapz function inside MATLAB for this task. It will perform the integration taking the intersection points and will give you the area under the curve.
Here is a snippet of code that might help
x = linspace(0, 10, 100);
y1 = sin(x);
y2 = cos(x);
%Plot the curves
plot(x, y1)
hold on
plot(x, y2)
% Find intersection points (assuming they are known)
idx1 = 20;
idx2 = 70;
% Calculate the area
area = trapz(x(idx1:idx2), abs(y1(idx1:idx2) - y2(idx1:idx2)));
disp(['Area between curves: ', num2str(area)]);
You can also refer to the trapz function in the MATLAB for further usage according to your code. I hope this might help you!
Thanks
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Anamika
el 17 de Jul. de 2023
To calculate the area between two curves in MATLAB, you can use the `trapz` function. Here's a step-by-step guide:
1. Define the x-values and the two curves, let's call them `y1` and `y2`. Make sure the curves have the same length and correspond to the same x-values.
2. Calculate the absolute difference between the two curves to obtain the vertical distance between them. Let's call it `diff_y`.
3. Use the `trapz` function to integrate the `diff_y` over the x-range. This will give you the area between the curves.
Here's an example code which shows this process:
% Defining the x-values
x = 0:0.1:10;
% Defining the two curves
y1 = sin(x);
y2 = cos(x);
% Calculating the difference between the two curves
diff_y = abs(y1 - y2);
% Calculate the area between the curves using trapz
area_between_curves = trapz(x, diff_y);
% Display the result
disp(area_between_curves);
In this example, it's calculating the area between the curves `y1` and `y2`, which are the sine and cosine functions, respectively. The `trapz` function integrates the absolute difference between the curves over the range of x-values.
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