integral from 1 to R of x^{-7/5}

Lösung

\int_{1}^{R} x^{- \frac{7}{5}} d x

- \frac{5}{2 R ^{\frac{2}{5}}} + \frac{5}{2}

Schritte zur Lösung

\int_{1}^{R} x^{- \frac{7}{5}} d x

Wende die Potenzregel an

= [- \frac{5}{2 x ^{\frac{2}{5}}}]_{1}^{R}

Berechne die Grenzen:

- \frac{5}{2 R ^{\frac{2}{5}}} + \frac{5}{2}

= - \frac{5}{2 R ^{\frac{2}{5}}} + \frac{5}{2}

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