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Beliebt Rechnen >

integral from 0 to 6 of 1/(sqrt(36-x^2))

Lösung

\int_{0}^{6} \frac{1}{36 - x ^{2}} d x

Lösung

\frac{π}{2}

+1

Dezimale

1.57079 \dots

Schritte zur Lösung

\int_{0}^{6} \frac{1}{36 - x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{0}^{\frac{π}{2}} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{0}^{\frac{π}{2}}

Vereinfache

= [u]_{0}^{\frac{π}{2}}

Berechne die Grenzen:

\frac{π}{2}

= \frac{π}{2}

Graph

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