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Beliebt Rechnen >

integral from 0 to 2 of 4^{-θ}

Lösung

\int_{0}^{2} 4^{- θ} d θ

Lösung

\frac{15}{32 ln ( 2 )}

+1

Dezimale

0.67626 \dots

Schritte zur Lösung

\int_{0}^{2} 4^{- θ} d θ

Berechne das unbestimmte Integral:

\int 4^{- θ} d θ = - \frac{2 ^{- 2 θ - 1}}{ln ( 2 )} + C

Berechne die Grenzen:

\int_{0}^{2} 4^{- θ} d θ = - \frac{1}{32 ln ( 2 )} - (- \frac{1}{2 ln ( 2 )})

= - \frac{1}{32 ln ( 2 )} - (- \frac{1}{2 ln ( 2 )})

Vereinfache

= \frac{15}{32 ln ( 2 )}

Graph

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