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Beliebt Rechnen >

integral from-3 to-5 of-4^{-3}

Lösung

\int_{- 3}^{- 5} - 4^{- 3} d x

Lösung

\frac{1}{32}

+1

Dezimale

0.03125

Schritte zur Lösung

\int_{- 3}^{- 5} - 4^{- 3} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 5}^{- 3} - 4^{- 3} d x

Integral einer Konstanten :

\int a d x = a x

= - [(- 4^{- 3}) x]_{- 5}^{- 3}

Vereinfache

- [(- 4^{- 3}) x]_{- 5}^{- 3} : - [- \frac{1}{64} x]_{- 5}^{- 3}

= - [- \frac{1}{64} x]_{- 5}^{- 3}

Berechne die Grenzen:

- \frac{1}{32}

= - (- \frac{1}{32})

Vereinfache

= \frac{1}{32}

Graph

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