I have two set data and I want to calculate the area in different x and plot the area curve with respect to X

For example

x=[1 1.5 1.7 2 2.2 2.6 2.8];
y=[0 2 6 7 8 10 5];

Now I wanted to plot the area under these data with respect to x

Answer 1

[Star Strider]

Perhaps this —

x=[1 1.5 1.7 2 2.2 2.6 2.8];
y=[0 2 6 7 8 10 5];
int_y = cumtrapz(x, y);

figure
plot(x, y, 'DisplayName','Data')
hold on
plot(x, int_y, 'DisplayName','Cumulative Integral of ‘y’')
hold off
grid
xlabel('x')
ylabel('y')
legend('Location','NW')

.

[Misi]

Thank you

[Star Strider]

As always, my pleasure!

Answer 2

[dpb]

x=[1 1.5 1.7 2 2.2 2.6 2.8];
y=[0 2 6 7 8 10 5];
A=trapz(x,y);                   % the total area (one number)
a=cumtrapz(x,y);                % each segment area (last is total)
[A a(end)]                      % show above is so...

ans = 1×2

9.8500 9.8500

plot(x,a,'-x')                  % plot the cumulative area, show where the data points are

See trapz and cumtrapz for further details...

[Misi]

thank you