integral of (1-x^{-0.52})

Lösung

\int (1 - x^{- 0.52}) d x

x - 2.08333 \dots x^{0.48} + C

Schritte zur Lösung

\int 1 - x^{- 0.52} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x - \int x^{- 0.52} d x

\int 1 d x = x

\int x^{- 0.52} d x = 2.08333 \dots x^{0.48}

= x - 2.08333 \dots x^{0.48}

Füge eine Konstante zur Lösung hinzu

= x - 2.08333 \dots x^{0.48} + C

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