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Given the derivative of the function s(t) , we have to find s(t). For this we integrate the derivative of the function.

s(t) = Int [ s'(t)]

=> s(t) = Int [ 36*t^5 + 4*t^3]

=> s(t) = Int [ 36*t^5] + Int [ 4*t^3]

=> s(t) = 36* t^6 / 6 + 4*t^4 / 4 + C

=> s(t) = 6*t^6 + t^4 + C

The function s(t) = 6*t^6 + t^4 + C

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