Hi everyone. I'm working on a calculus problem about distance. I haven't learned it yet, but I have done some research to find a way to solve it.

A particle moves on the x-axis so that its velocity at any time t≥0 is given by $\displaystyle v(t)=12t^2-36t+15$

Find the distance the particle has traveled from t=0 to t=2.

Should I just calculate:$\displaystyle \int_0^2 (12t^2-36t+15) dt$ ? The answer for that is -10. Can distance be negative?

Thanks a lot.