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Beliebt Rechnen >

integral of 1/(12(x^2+1))

Lösung

\int \frac{1}{12 ( x ^{2} + 1 )} d x

Lösung

\frac{1}{12} arctan (x) + C

Schritte zur Lösung

\int \frac{1}{12 ( x ^{2} + 1 )} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{12} \cdot \int \frac{1}{x ^{2} + 1} d x

Nutze das gemeinsame Integral :

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

= \frac{1}{12} arctan (x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{12} arctan (x) + C

Graph

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