Topic 2: (6 pts) Fundamental Theorem of Calculus. Solve the following problem. Let v(t) = t + sin(2t) be the velocity of a particle moving along the x-axis at time t and the position x(t) is 5 at time t = 2. Write the integral that expresses the position of the particle for time t. Determine the position for time t = 10. Write the integral that expresses the distance that the particle traveled from t = 2 to t = 10 and evaluate