直线和曲线之间的面积(无功能) [英] Area between line and curve (no function)

问题描述

我想计算橙色线和蓝色线之间的面积.我设法遮蔽了该区域.但我不知道如何应用 trapz 函数来获取该区域.在这篇文章中:

解决方案

这里有一个答案，虽然我不确定这里的情况和

告诉我这解决了问题;)

I want to calculate the area beween the orange and the blue line. I managed to shade the area. But I do not know how to apply the trapz function in order to get the area. In this post: Area under surface between two curves I got some solutions but I do not have a specific equation for the curves just the plots per se.

The code for the orange line is:

x_1 = [0,M1_1];
y_1 = [c1,c1];
v = plot(x_1,y_1,'LineWidth',2)

The blue curve is a plot of arrays with the length of (10000x1)-abscissa and (1x10000)-ordinate.

If I use

%c0_1: Intersection blue curve with y-axis
%c1_1: Intersection orange curve with y-axis
A = trapz(ab1(0:c1_1),ab_y1(c1_1:c0_1))

I get the following error:

Warning: Integer operands are required for colon operator when used as index Warning: Integer operands are required for colon operator when used as index Error using trapz (line 58) LENGTH(X) must equal the length of Y in dim 2.

How can I apply my trapz function easily on my problem?

解决方案

Here is an answer, although I'm not sure what is the difference between the situation here and here, and therefore I'm not sure it truelly answers your question...

Anyway, you don't need to know y1 function explicitly, just to have its' series of data.

x = 0:0.1:12;       % x data
y1 = 3*exp(-0.5*x); % y data
y2 = 0.5;
lineStart = find(x>=0,1);
lineEnd = find(y1<=y2,1);
f = plot(x,y1,'b',x,ones(1,length(x))*y2,'r','LineWidth',2);
ylim([0 4])
hold on
area(x(lineStart:lineEnd),y1(lineStart:lineEnd), y2,...
    'EdgeColor', 'none', 'FaceColor', [0.5 0.5 1],'ShowBaseLine','off')
hold off
A = trapz(x(lineStart:lineEnd),y1(lineStart:lineEnd));

I added also the illustration of the integrated area:

Tell me is that solves the problem ;)

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