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Beliebt Rechnen >

integral of sqrt(x)-7cos(x)

Lösung

\int x - 7 cos (x) d x

Lösung

\frac{2}{3} x^{\frac{3}{2}} - 7 sin (x) + C

Schritte zur Lösung

\int x - 7 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 x d x - \int 7 cos (x) d x

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

\int 7 cos (x) d x = 7 sin (x)

= \frac{2}{3} x^{\frac{3}{2}} - 7 sin (x)

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} x^{\frac{3}{2}} - 7 sin (x) + C

Graph

Beliebte Beispiele

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