integral of x+sin(y)

Lösung

\int x + sin (y) d x

sin (y) x + \frac{x ^{2}}{2} + C

Schritte zur Lösung

\int x + sin (y) d x

Wende die Summenregel an:

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

= \int sin (y) d x + \int x d x

\int sin (y) d x = sin (y) x

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

= sin (y) x + \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= sin (y) x + \frac{x ^{2}}{2} + C

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