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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{π}{4}

+1

Dezimale

0.78539 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

= [arctan (t)]_{0}^{1}

Berechne die Grenzen:

\frac{π}{4}

= \frac{π}{4}

Graph

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