How to Plot an Integral

Find the solution to the initial value problem x′ = e^(−t)/√t, x(1) = 0, in terms of an integral with a variable upper limit. Plot the solution on the interval [1, 4] using a computer algebra system.

s=.01:0.1:5; 
x=exp(-s)/sqrt(s); 
vals=cumtrapz(s,x);
t=s; 
plot(t,vals)

This what I've tried, but it's not working.

Answer 1

[Star Strider]

Try this:

x = @(s) exp(-s)/sqrt(s); 

upper_limit = linspace(1, 4);

xval = arrayfun(@(uplim) integral(x, 0, uplim, 'ArrayValued',true), upper_limit);

figure(1)
plot(upper_limit, xval)
grid