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Beliebt Rechnen >

integral of t^2*cos(t)

Lösung

\int t^{2} \cdot cos (t) d t

Lösung

t^{2} sin (t) - 2 (- t cos (t) + sin (t)) + C

Schritte zur Lösung

\int t^{2} cos (t) d t

Wende die partielle Integration an

= t^{2} sin (t) - \int 2 t sin (t) d t

\int 2 t sin (t) d t = 2 (- t cos (t) + sin (t))

= t^{2} sin (t) - 2 (- t cos (t) + sin (t))

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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x \to - \infty lim (e^{x})

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