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Beliebt Rechnen >

integral of t+sin(t)

Lösung

\int t + sin (t) d t

Lösung

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

Schritte zur Lösung

\int t + sin (t) d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int t d t + \int sin (t) d t

\int t d t = \frac{t ^{2}}{2}

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

= \frac{t ^{2}}{2} - cos (t)

Füge eine Konstante zur Lösung hinzu

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

Graph

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