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Beliebt Rechnen >

integral of arctan(4x)

Lösung

\int arctan (4 x) d x

Lösung

x arctan (4 x) - \frac{1}{8} ln 16 x^{2} + 1 + C

Schritte zur Lösung

\int arctan (4 x) d x

Wende die partielle Integration an

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

\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

Füge eine Konstante zur Lösung hinzu

= x arctan (4 x) - \frac{1}{8} ln 16 x^{2} + 1 + C

Graph

Beliebte Beispiele

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\int_{0}^{3} ∣ 2 x - 1 ∣ d x

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\frac{\partial}{\partial x} (\frac{63}{( 9 + x ^{2} + y ^{2} )})

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\int \frac{d y}{y} d x

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integral of (3x-8)^{21}

\int (3 x - 8)^{21} d x