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Beliebt Rechnen >

integral of In(x+1)

Lösung

\int I n (x + 1) d x

Lösung

I n (x + \frac{x ^{2}}{2}) + C

Schritte zur Lösung

\int I n (x + 1) d x

Entferne die Konstante:

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

= I n \cdot \int 1 + x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= I n (\int 1 d x + \int x d x)

\int 1 d x = x

\int x d x = \frac{x ^{2}}{2}

= I n (x + \frac{x ^{2}}{2})

Füge eine Konstante zur Lösung hinzu

= I n (x + \frac{x ^{2}}{2}) + C

Graph

Beliebte Beispiele

integral of x^{1/2}+9

\int x^{\frac{1}{2}} + 9 d x

integral of (4x+5)^6

\int (4 x + 5)^{6} d x

integral of x^{1/2}+1

\int x^{\frac{1}{2}} + 1 d x

integral of 4/x+sec^2(x)

\int \frac{4}{x} + sec^{2} (x) d x

integral of xe^{-x/y}

\int x e^{- \frac{x}{y}} d x