1. The problem statement, all variables and given/known data Express the time taken for the particle to travel from x=1 to x=8 as a definate integral with respect to x. 2. Relevant equations A particle P moves under the influence of a force F(x)= (16/x^2) -2 3. The attempt at a solution first i worked out V(x), such that V(x)=- the integral of F(x) V(x) = 2x +16/x + a constant we are then told P is released from rest at x=1 so we can obtain V(1)=0=2+16-C C=-18 so V(x)=2x +16/x -18 V(x) is the potential function btw so we can work out the particle is bounded by x=1 and x=8 I'm just not sure how to express the time as an integral in terms of x. we haven't done much like that.