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Beliebt Rechnen >

integral of 8sqrt(x)+6cos(x)

Lösung

\int 8 x + 6 cos (x) d x

Lösung

\frac{16}{3} x^{\frac{3}{2}} + 6 sin (x) + C

Schritte zur Lösung

\int 8 x + 6 cos (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 6 cos (x) d x

\int 8 x d x = \frac{16}{3} x^{\frac{3}{2}}

\int 6 cos (x) d x = 6 sin (x)

= \frac{16}{3} x^{\frac{3}{2}} + 6 sin (x)

Füge eine Konstante zur Lösung hinzu

= \frac{16}{3} x^{\frac{3}{2}} + 6 sin (x) + C

Graph

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