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Beliebt Rechnen >

integral of xsin(x)-x

Lösung

\int x sin (x) - x d x

Lösung

- x cos (x) + sin (x) - \frac{x ^{2}}{2} + C

Schritte zur Lösung

\int x sin (x) - 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

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

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

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

= - x cos (x) + sin (x) - \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= - x cos (x) + sin (x) - \frac{x ^{2}}{2} + C

Graph

Beliebte Beispiele

integral of-1/(y^3)

\int - \frac{1}{y ^{3}} d y

integral of 1/(T^2)

\int \frac{1}{T ^{2}} d T

integral of xe^{-(x/2)^2}

\int x e^{- (\frac{x}{2})^{2}} d x

integral of 8/x-5e^x

\int \frac{8}{x} - 5 e^{x} d x

integral of ((-7)/x+e^{9x}+9/4)

\int (\frac{- 7}{x} + e^{9 x} + \frac{9}{4}) d x