The derivative of sin(x) is cos(x). Let's make sure that if we numerically-integrate cos(x), we do get sin(x). Using a step of dt=0.01, let's try using the rectangular integration (Riemann sum) to try to get sin(x).

Please write MATLAB code that generates the vector integrated_cos, then plot it against sin(x) using the built-in sin() function. Use x from 0 to 2*pi.

TIP: Be careful about your initial condition for integrated_cos!