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Beliebt Rechnen >

integral of (x+5)^9

Lösung

\int (x + 5)^{9} d x

Lösung

x (x + 5)^{9} - \frac{9}{10} (x + 5)^{10} + 5 (x + 5)^{9} + C

Schritte zur Lösung

\int (x + 5)^{9} d x

Wende die partielle Integration an

= (x + 5)^{9} x - \int 9 (x + 5)^{8} x d x

\int 9 (x + 5)^{8} x d x = \frac{9}{10} (x + 5)^{10} - 5 (x + 5)^{9}

= (x + 5)^{9} x - (\frac{9}{10} (x + 5)^{10} - 5 (x + 5)^{9})

Vereinfache

(x + 5)^{9} x - (\frac{9}{10} (x + 5)^{10} - 5 (x + 5)^{9}) : x (x + 5)^{9} - \frac{9}{10} (x + 5)^{10} + 5 (x + 5)^{9}

= x (x + 5)^{9} - \frac{9}{10} (x + 5)^{10} + 5 (x + 5)^{9}

Füge eine Konstante zur Lösung hinzu

= x (x + 5)^{9} - \frac{9}{10} (x + 5)^{10} + 5 (x + 5)^{9} + C

Graph

Beliebte Beispiele

integral of x^2sqrt(5x+4)

\int x^{2} 5 x + 4 d x

fläche f(x)=x^3-6x^2+8,g(x)=x^2-4x

a re a f (x) = x^{3} - 6 x^{2} + 8, g (x) = x^{2} - 4 x

(dy)/(dx)=(x-8)e^{-2y}

\frac{d y}{d x} = (x - 8) e^{- 2 y}

derivative f(x)=2x+6

d er i v a t i v e f (x) = 2 x + 6

implicit 2x^2+xy+y^2=4

im pl i c i t 2 x^{2} + x y + y^{2} = 4