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Beliebt Rechnen >

integral from 2 to 4 of 1/(sqrt(16-x^2))

Lösung

\int_{2}^{4} \frac{1}{16 - x ^{2}} d x

Lösung

\frac{π}{3}

+1

Dezimale

1.04719 \dots

Schritte zur Lösung

\int_{2}^{4} \frac{1}{16 - x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{\frac{π}{6}}^{\frac{π}{2}} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{\frac{π}{6}}^{\frac{π}{2}}

Vereinfache

= [u]_{\frac{π}{6}}^{\frac{π}{2}}

Berechne die Grenzen:

\frac{π}{3}

= \frac{π}{3}

Graph

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