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Beliebt Rechnen >

integral of (x-5)*sin(x)

Lösung

\int (x - 5) \cdot sin (x) d x

Lösung

- cos (x) (x - 5) + sin (x) + C

Schritte zur Lösung

\int (x - 5) sin (x) d x

Wende die partielle Integration an

= - cos (x) (x - 5) - \int - cos (x) d x

\int - cos (x) d x = - sin (x)

= - cos (x) (x - 5) - (- sin (x))

Vereinfache

= - cos (x) (x - 5) + sin (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) (x - 5) + sin (x) + C

Graph

Beliebte Beispiele

integral of (sin(x)tan(x))/(9+sec^2(x))

\int \frac{sin ( x ) tan ( x )}{9 + sec ^{2} ( x )} d x

t^2y^{''}+21ty^'+100y=0

t^{2} y^{^{''}} + 21 t y^{^{'}} + 100 y = 0

limit as x approaches 2 of 5a+ax

x \to 2 lim (5 a + a x)

(dy)/(dx)=(2-e^x)/(3+2y)

\frac{d y}{d x} = \frac{2 - e ^{x}}{3 + 2 y}

derivative (8x+7)^2

d er i v a t i v e (8 x + 7)^{2}