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Beliebt Rechnen >

integral of arctan(sqrt(x-1))

Lösung

\int arctan (x - 1) d x

Lösung

x arctan (x - 1) - x - 1 + C

Schritte zur Lösung

\int arctan (x - 1) d x

Wende die partielle Integration an

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

\int \frac{1}{2 x - 1} d x = x - 1

= x arctan (x - 1) - x - 1

Füge eine Konstante zur Lösung hinzu

= x arctan (x - 1) - x - 1 + C

Graph

Beliebte Beispiele

integral of x^2(8x^3-9)^6

\int x^{2} (8 x^{3} - 9)^{6} d x

integral of (x^{3+1/7})/7

\int \frac{x ^{3 + \frac{1}{7}}}{7} d x

integral of-10sin(10x)

\int - 10 sin (10 x) d x

integral of-x5^{-2x}

\int - x 5^{- 2 x} d x

integral of (10x^4)/(sqrt(1-x^{10))}

\int \frac{10 x ^{4}}{1 - x ^{10}} d x