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Beliebt Rechnen >

integral from 0 to 1 of arctan(4x)

Lösung

\int_{0}^{1} arctan (4 x) d x

Lösung

arctan (4) - \frac{1}{8} ln (17)

+1

Dezimale

0.97166 \dots

Schritte zur Lösung

\int_{0}^{1} arctan (4 x) d x

Wende die partielle Integration an

= [x arctan (4 x) - \int \frac{4 x}{16 x ^{2} + 1} d x]_{0}^{1}

\int \frac{4 x}{16 x ^{2} + 1} d x = \frac{1}{8} ln 16 x^{2} + 1

= [x arctan (4 x) - \frac{1}{8} ln 16 x^{2} + 1]_{0}^{1}

Berechne die Grenzen:

arctan (4) - \frac{1}{8} ln (17)

= arctan (4) - \frac{1}{8} ln (17)

Graph

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