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Beliebt Rechnen >

integral of (ln(x+1))/(sqrt(x+1))

Lösung

\int \frac{ln ( x + 1 )}{x + 1} d x

Lösung

2 ln (x + 1) x + 1 - 4 x + 1 + C

Schritte zur Lösung

\int \frac{ln ( x + 1 )}{x + 1} d x

Wende die partielle Integration an

= 2 ln (x + 1) x + 1 - \int \frac{2}{x + 1} d x

\int \frac{2}{x + 1} d x = 4 x + 1

= 2 ln (x + 1) x + 1 - 4 x + 1

Füge eine Konstante zur Lösung hinzu

= 2 ln (x + 1) x + 1 - 4 x + 1 + C

Graph

Beliebte Beispiele

integral from 0 to 1 of (x^3+1)/(x+1)

\int_{0}^{1} \frac{x ^{3} + 1}{x + 1} d x

derivative of 3xe^{-x}-2x

\frac{d}{d x} (3 x e^{- x} - 2 x)

derivative of 2x+(18/x+1)

\frac{d}{d x} (2 x + \frac{18}{x} + 1)

integral of (2x^{1/2})

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

integral of sin(x)x^2

\int sin (x) x^{2} d x