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Beliebt Rechnen >

integral of x^2cos(x+1)

Lösung

\int x^{2} cos (x + 1) d x

Lösung

x^{2} sin (x + 1) - 2 (- x cos (x + 1) + sin (x + 1)) + C

Schritte zur Lösung

\int x^{2} cos (x + 1) d x

Wende die partielle Integration an

= x^{2} sin (x + 1) - \int 2 x sin (x + 1) d x

\int 2 x sin (x + 1) d x = 2 (- x cos (x + 1) + sin (x + 1))

= x^{2} sin (x + 1) - 2 (- x cos (x + 1) + sin (x + 1))

Füge eine Konstante zur Lösung hinzu

= x^{2} sin (x + 1) - 2 (- x cos (x + 1) + sin (x + 1)) + C

Graph

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