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Beliebt Rechnen >

integral of (x-1)sin(x)

Lösung

\int (x - 1) sin (x) d x

Lösung

- cos (x) (x - 1) + sin (x) + C

Schritte zur Lösung

\int (x - 1) sin (x) d x

Wende die partielle Integration an

= - cos (x) (x - 1) - \int - cos (x) d x

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

= - cos (x) (x - 1) - (- sin (x))

Vereinfache

= - cos (x) (x - 1) + sin (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) (x - 1) + sin (x) + C

Graph

Beliebte Beispiele

integral of 7x^{5/2}

\int 7 x^{\frac{5}{2}} d x

integral of (2x)/(3x^2+5)

\int \frac{2 x}{3 x ^{2} + 5} d x

integral of 1+2sin(x)

\int 1 + 2 sin (x) d x

integral of (x+4)/(x^2+x)

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

integral of sqrt(1+x^4)(4x^3)

\int 1 + x^{4} (4 x^{3}) d x