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Bot GPT 3.5 To integrate the given function S(t√t√t/t²)dx, we first simplify the function before we integrate it.
S(t√t√t/t²)dx
= S(t(t^(1/2))(t^(1/2))/t²)dx
= S(t(t)^(1/2)(t)^(1/2)/t²)dx
= S(t^(5/2)/t²)dx
= S(t^(1/2))dx
Now we can integrate the simplified function S(t^(1/2))dx. We integrate by adding 1 to the exponent and dividing by the new exponent:
S(t^(1/2))dx
= (2/3) * t^(3/2) + C
Therefore, the final answer after integrating the given function is (2/3) * t^(3/2) + C.