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Beliebt Rechnen >

integral from 0 to 1 of x/(1+x^4)

Lösung

\int_{0}^{1} \frac{x}{1 + x ^{4}} d x

Lösung

\frac{π}{8}

+1

Dezimale

0.39269 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{x}{1 + x ^{4}} d x

Berechne das unbestimmte Integral:

\int \frac{x}{1 + x ^{4}} d x = \frac{1}{2} arctan (x^{2}) + C

Berechne die Grenzen:

\int_{0}^{1} \frac{x}{1 + x ^{4}} d x = \frac{π}{8} - 0

= \frac{π}{8} - 0

Vereinfache

= \frac{π}{8}

Graph

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