integral from 1 to R of x^{-9/4}

Lösung

\int_{1}^{R} x^{- \frac{9}{4}} d x

- \frac{4}{5 R ^{\frac{5}{4}}} + \frac{4}{5}

Schritte zur Lösung

\int_{1}^{R} x^{- \frac{9}{4}} d x

Wende die Potenzregel an

= [- \frac{4}{5 x ^{\frac{5}{4}}}]_{1}^{R}

Berechne die Grenzen:

- \frac{4}{5 R ^{\frac{5}{4}}} + \frac{4}{5}

= - \frac{4}{5 R ^{\frac{5}{4}}} + \frac{4}{5}

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