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Beliebt Rechnen >

integral of (xsin(x)-cos(x))

Lösung

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

Lösung

- x cos (x) + C

Schritte zur Lösung

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

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

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

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

Vereinfache

= - x cos (x)

Füge eine Konstante zur Lösung hinzu

= - x cos (x) + C

Graph

Beliebte Beispiele

integral of (cos^2(x))/(sin^5(x))

\int \frac{cos ^{2} ( x )}{sin ^{5} ( x )} d x

integral of 2^{x-3}

\int 2^{x - 3} d x

integral of 1/(sqrt(x))*e^{sqrt(x)}

\int \frac{1}{x} \cdot e^{x} d x

integral of 1/2 x+4

\int \frac{1}{2} x + 4 d x

integral of ln(x) 1/(x^2)

\int ln (x) \frac{1}{x ^{2}} d x