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Beliebt Rechnen >

integral from-1 to 1 of 1/(1+t^2)

Lösung

\int_{- 1}^{1} \frac{1}{1 + t ^{2}} d t

Lösung

\frac{π}{2}

+1

Dezimale

1.57079 \dots

Schritte zur Lösung

\int_{- 1}^{1} \frac{1}{1 + t ^{2}} d t

Nutze das gemeinsame Integral :

\int \frac{1}{1 + t ^{2}} d t = arctan (t)

= [arctan (t)]_{- 1}^{1}

Berechne die Grenzen:

\frac{π}{2}

= \frac{π}{2}

Graph

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