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Beliebt Rechnen >

integral of sin(x)x

Lösung

\int sin (x) x d x

Lösung

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

Schritte zur Lösung

\int sin (x) x d x

Wende die partielle Integration an

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

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative 2sin(x)+2xcos(x)

d er i v a t i v e 2 sin (x) + 2 x cos (x)

integral of e^ycos(2y)

\int e^{y} cos (2 y) d y

limit as x approaches 2 of (2x-25)/(x-2)

x \to 2 lim (\frac{2 x - 25}{x - 2})

integral from-infinity to 0 of 1/(6-10x)

\int_{- \infty}^{0} \frac{1}{6 - 10 x} d x

fläche |9x|,x^2-10

a re a ∣ 9 x ∣, x^{2} - 10