Find the most general antiderivative or indefinite integral.

Integral from nothing to nothing StartFraction t RootIndex $3$ StartRoot t EndRoot plus RootIndex $4$ StartRoot t cubed EndRoot Over t squared EndFraction dt$$t$3$t$+4$t$3$t$2$dt

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Part $1$

Integral from nothing to nothing StartFraction t RootIndex $3$ StartRoot t EndRoot plus RootIndex $4$ StartRoot t cubed EndRoot Over t squared EndFraction dt$$t$3$t$+4$t$3$t$2$dtequals$=$negative $4$ t Superscript negative one fourth Baseline plus c