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Beliebt Rechnen >

integral of arcsinh(x)

Lösung

\int arcsinh (x) d x

Lösung

x arcsinh (x) - x^{2} + 1 + C

Schritte zur Lösung

\int arcsinh (x) d x

Wende die partielle Integration an

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

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

= x arcsinh (x) - x^{2} + 1

Füge eine Konstante zur Lösung hinzu

= x arcsinh (x) - x^{2} + 1 + C

Graph

Beliebte Beispiele

limit as x approaches+0+of x^{12}ln(x)

x \to + 0 + lim (x^{12} ln (x))

derivative of 2/(2x^4-5)

\frac{d}{d x} (\frac{2}{2 x ^{4} - 5})

steigung (-3.7)(0.3)

s l o p e (- 3.7) (0.3)

derivative of 3*4^{x^2+2}

\frac{d}{d x} (3 \cdot 4^{x^{2} + 2})

integral of 1/(sqrt((x+1)^2+25))

\int \frac{1}{( x + 1 ) ^{2} + 25} d x