MATLAB: Finding area UNDER two curves

area under curve

I am trying to find the area under two curves that overlap in a graph.

So i only want the area under BOTH graphs that actually over lap with each other, the part shaded in pink.

So far I have only seen functions that are able to solve for the area between these two curves, but is there a way to solve for the area under the two overlapping curves?

Thanks

Best Answer

Lets say you data is (x,y1) and (x,y2) which is of size m*2. Your curve for which you want area uses the minmum value of the two.

y = min([y1 y2]) ;

Nowy you have (x,y) data for which you want area. Use trapz, / area, / polyarea.

Related Solutions

MATLAB: How to calculate the area between two curves

The polyarea function handles this just fine.

figure(1),clf(1)
x=0:1500;
y1=@(x)(100./0.93).*(((x./19).^(10))./(1+(x./19).^(10))).*exp(-x./485);
y2=@(x)5*ones(size(x));
plot(x,y1(x),x,y2(x))
Y=y1(x)-y2(x);
Y1=Y;
Y2=Y;Y2(Y2<0)=0;
Y3=abs(Y);
fprintf('A=%.0f (y2<y1 counting as negative)\n',polyarea(x,Y1))
fprintf('A=%.0f (y2<y1 not counting)\n',polyarea(x,Y2))
fprintf('A=%.0f (y2<y1 as well)\n',polyarea(x,Y3))

MATLAB: Shading (or colouring) area under the curve

I just found a MATLAB function area() which will do the job! B

Best Answer

Related Solutions

MATLAB: How to calculate the area between two curves

MATLAB: Shading (or colouring) area under the curve

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