Integrating Data points in matlab

I have a set of data points I want to integrate. The signal is force vs time. (ultimate aim is to get fourier series, but taking mini steps by learning to integrate first.) I thought of using,

cumtrapz(t,F) %t is time, F is force

To verify if this method is correct, I created a test signal,

t=0:0.01:25.6;
F=2*sin(0.5*t);
intF=cumtrapz(t,F);

I also found Integration of 2 sin(wt) using,

   syms t
   int(2*sin(0.5*t))

It came as, -2w cos(wt). After this I plotted all the three signals on one graph.

plot(F);
hold on
plot(intF);
hold on
plot(-4*cos(t/2));

I get the following result.

My question is how to get the correct integration result for numerical data.

[Pawel Jastrzebski]

Small off topic: you need only ONE 'hold on' to keep all of the plots in one figure.

Answer 1

[Torsten]

plot(-4*cos(t/2)+4*cos(0/2));

[Kunal Tiwari]

You misunderstood my question.

-4*cos(t/2)=int(2*sin(0.5*t)

I need some data integration function which will not add the bias.

[Torsten]

The numerical result for your integration data is correct, but not your analytical integral:

int(2*sin(0.5*t),0,x) = -4*cos(x/2)+4