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Beliebt Rechnen >

integral of xcos(x)

Lösung

\int x cos (x) d x

Lösung

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

Schritte zur Lösung

\int x cos (x) d x

Wende die partielle Integration an

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

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

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

Vereinfache

= x sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of x^2+(2000/x)

\frac{d}{d x} (x^{2} + \frac{2000}{x})

(dy)/(dx)=x^2(y-1)

\frac{d y}{d x} = x^{2} (y - 1)

derivative of (2x/(x^4))

\frac{d}{d x} (\frac{2 x}{x ^{4}})

integral from 0 to 1 of ln(4-2x)

\int_{0}^{1} ln (4 - 2 x) d x

integral of 1/(x(\sqrt[5]{x))}

\int \frac{1}{x ( 5 x )} d x