Question

the position of a body moving along x axis at time t is given by x=(t^2-4t+6) m. the distance travelled by body in time interval t =0 to t=3s is?

Answer 1

integrate the equation with limits
so
x =( t - 2t +6t )0 to 3
x = 3 - 2x3 + 6x3
x = 15 m

Answer 2

it can be solved using v t graph