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Beliebt Rechnen >

integral of sin(t/2)t

Lösung

\int sin (\frac{t}{2}) t d t

Lösung

- 2 t cos (\frac{t}{2}) + 4 sin (\frac{t}{2}) + C

Schritte zur Lösung

\int sin (\frac{t}{2}) t d t

Wende die partielle Integration an

= - 2 t cos (\frac{t}{2}) - \int - 2 cos (\frac{t}{2}) d t

\int - 2 cos (\frac{t}{2}) d t = - 4 sin (\frac{t}{2})

= - 2 t cos (\frac{t}{2}) - (- 4 sin (\frac{t}{2}))

Vereinfache

= - 2 t cos (\frac{t}{2}) + 4 sin (\frac{t}{2})

Füge eine Konstante zur Lösung hinzu

= - 2 t cos (\frac{t}{2}) + 4 sin (\frac{t}{2}) + C

Graph

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