Question

S(3t^2+t^2/2)dx

Answer 1

[AI-generated answer — Bot GPT 3.5]

To integrate the given expression, we first simplify it:

S(3t^2 + t^2/2)dx
= S(3t^2)dx + S(t^2/2)dx
= 3S(t^2)dx + (1/2)S(t^2)dx
= (3 + 1/2)S(t^2)dx
= (7/2)S(t^2)dx

Now, we can integrate the simplified expression:

S(7/2 * t^2) dx
= (7/2) * S(t^2)dx
= (7/2) * (t^3/3) + C
= (7/6) * t^3 + C

Therefore, the integral of the given expression is (7/6) * t^3 + C.