integral of 8x+3sin(x)

Lösung

\int 8 x + 3 sin (x) d x

4 x^{2} - 3 cos (x) + C

Schritte zur Lösung

\int 8 x + 3 sin (x) 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 8 x d x + \int 3 sin (x) d x

\int 8 x d x = 4 x^{2}

\int 3 sin (x) d x = - 3 cos (x)

= 4 x^{2} - 3 cos (x)

Füge eine Konstante zur Lösung hinzu

= 4 x^{2} - 3 cos (x) + C