Integration(solve)
S=(3t^2+6/2)dt
To solve the given integration S=(3t^2+6/2)dt, we first need to simplify the expression inside the integral:
S = ∫ (3t^2 + 3) dt
Next, we can integrate each term separately:
∫ 3t^2 dt + ∫ 3 dt
= t^3 + 3t + C
Therefore, the solution to the integration S=(3t^2+6/2)dt is:
S = t^3 + 3t + C