Need some help with this particle problem.

[mtingle22]

A particle is moving with the given data. Find the position of the particle. a(t) = t² − 7t + 6, s(0) = 0, s(1) = 20 s(t) = ?? Find s(t)

So first I took the integral of a(t) and got t^3/3 - 7/2*t^2 + 6t + C

Then I took the integral of that and got t^4/12 - 7/6*t^3+3t^2+C1(t)+C2
From there I found C2 to be 0 and C1 to be 217/12 but when I plug those into the function above they are incorrect, what am I doing wrong here?

 

[stapel]

A particle is moving with the given data. Find the position of the particle. a(t) = t²−7t + 6,s(0) = 0,s(1) = 20 s(t) = ?? Find s(t)

So first I took the integral of a(t) and got t^3/3 - 7/2*t^2 + 6t + C

Then I took the integral of that and got t^4/12 - 7/6*t^3+3t^2+C1(t)+C2
From there I found C2 to be 0 and C1 to be 217/12 but when I plug those into the function above they are incorrect, what am I doing wrong here?

Into which function are you plugging which "these"? Which part of what result is "incorrect"? Thank you! ;-)