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Beliebt Rechnen >

integral of (x-2)sin(x)

Lösung

\int (x - 2) sin (x) d x

Lösung

- cos (x) (x - 2) + sin (x) + C

Schritte zur Lösung

\int (x - 2) sin (x) d x

Wende die partielle Integration an

= - cos (x) (x - 2) - \int - cos (x) d x

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

= - cos (x) (x - 2) - (- sin (x))

Vereinfache

= - cos (x) (x - 2) + sin (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) (x - 2) + sin (x) + C

Graph

Beliebte Beispiele

integral of (2x+10)^{20}

\int (2 x + 10)^{20} d x

integral of sin(arctan(x))

\int sin (arctan (x)) d x

integral of 48x

\int 48 x d x

integral of x/(x^2-25)

\int \frac{x}{x ^{2} - 25} d x

integral of (x+1/(sqrt(x)))

\int (x + \frac{1}{x}) d x