How can I plot the answer of an integral Vs. its variable upper limit?

For example y=integral((1+x^2)*exp(-x),0,z), (this is just an example and my integral is not this case), and the lower limit of integral is zero and the upper limit (z) varies from 0 to for example 10. Then I want to plot the (z,y) curve.

Answer 1

[Star Strider]

Using your ‘hypothetical’ function, if it is similar to the function you actually want to integrate, this works:

z = linspace(0, 10, 25);
for k1 = 1:length(z)
    y(k1) = integral(@(x)(1+x.^2).*exp(-x),0,z(k1));
end

figure(1)
plot(z, y)
xlabel('z')
ylabel('\int(1+x^{2})\cdote^{-x}\it{dx}\rm')

Make appropriate changes to get the result you want with your actual function. (You can get better axis labels using LaTeX rather than TeX in this instance, but this will work for the example here.)