What is the integral of 1/(t^{7/4)} ?

The integral of 1/(t^{7/4)} is -4/(3t^{3/4)}+C

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integral of 1/(t^{7/4)}

\int \frac{1}{t ^{\frac{7}{4}}} d t

- \frac{4}{3 t ^{\frac{3}{4}}} + C

Solution steps

\int \frac{1}{t ^{\frac{7}{4}}} d t

Apply the Power Rule

: - \frac{4}{3 t ^{\frac{3}{4}}}

= - \frac{4}{3 t ^{\frac{3}{4}}}

Add a constant to the solution

= - \frac{4}{3 t ^{\frac{3}{4}}} + C

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What is the integral of 1/(t^{7/4)} ?
The integral of 1/(t^{7/4)} is -4/(3t^{3/4)}+C