What is the integral of \sqrt[4]{t} ?

The integral of \sqrt[4]{t} is 4/5 t^{5/4}+C

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integral of \sqrt[4]{t}

\int 4 t d t

\frac{4}{5} t^{\frac{5}{4}} + C

Solution steps

\int 4 t d t

Apply the Power Rule

: \frac{4}{5} t^{\frac{5}{4}}

= \frac{4}{5} t^{\frac{5}{4}}

Add a constant to the solution

= \frac{4}{5} t^{\frac{5}{4}} + C

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What is the integral of \sqrt[4]{t} ?
The integral of \sqrt[4]{t} is 4/5 t^{5/4}+C