Evaluate the following indefinite integral.

Integral from nothing to nothing StartFraction $1$ plus $4$ t cubed Over $5$ t EndFraction dt$1+4$t$35$tdt

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Part $1$

Simplify the integrand by dividing each term in the numerator by

$55$t

and write the resulting integral.

Integral from nothing to nothing StartFraction $1$ plus $4$ t cubed Over $5$ t EndFraction dt$1+4$t$35$tdtequals$=$Integral$$enter your response here

dt

$($Type an exact$$ answer.