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Beliebt Rechnen >

integral from 0 to 1 of arctan(1)

Lösung

\int_{0}^{1} arctan (1) d x

Lösung

\frac{π}{4}

+1

Dezimale

0.78539 \dots

Schritte zur Lösung

\int_{0}^{1} arctan (1) d x

Integral einer Konstanten :

\int a d x = a x

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

Verwende die folgende triviale Identität:

arctan (1) = \frac{π}{4}

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= [\frac{π}{4} x]_{0}^{1}

Berechne die Grenzen:

\frac{π}{4}

= \frac{π}{4}

Graph

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