Integral Problem: (Pls show the consequences, thank you.)?

The acceleration of a moving point is given in terms of the time, t, by the following equations.
(a)f=2t;
(b)f=1-t²
(c)f=2t-t³
In each case find the distance travelled S in time t, assuming that the point is initially at rest and that S=0 when t=0.

The answers given are :
(a)t³/3;
(b)t²/2-t⁴/4;
(c)t³/3-t⁵/20.
3 answers 3