Can I have help solving a word problem. Perhaps just the first couple of steps?

Question

The velocity v(in m/s) of an object moving with acceleration a (in m/s^2) is given by v= ∫a dt, where t is the time (in seconds). Find a formula for v, if a=5/4t(t^2+1)^2.

Answer 1

I - integral

v = I 5/4 t (t^2 + 1 ) ^ 2 dt

v = 5/4 I t ( t^4 + 2t^2 + 1 ) dt

v = 5/4 I ( t^5 + 2t^3 + t ) dt

v  = 5/4 (t^6/6 + 2t^4/4 +t^2/2)

v = 5/8(t^6/3 + t^4 +t^2 )