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Beliebt Rechnen >

integral from 0 to 1 of 1/(sqrt(1+x^2))

Lösung

\int_{0}^{1} \frac{1}{1 + x ^{2}} d x

Lösung

ln (1 + 2)

+1

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{1}{1 + x ^{2}} d x

Nutze das gemeinsame Integral :

\int \frac{1}{1 + x ^{2}} d x = ln x^{2} + 1 + x

= [ln x^{2} + 1 + x]_{0}^{1}

Berechne die Grenzen:

ln (1 + 2)

= ln (1 + 2)

Graph

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