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Beliebt Rechnen >

integral of sqrt(t)-5cos(t)

Lösung

\int t - 5 cos (t) d t

Lösung

\frac{2}{3} t^{\frac{3}{2}} - 5 sin (t) + C

Schritte zur Lösung

\int t - 5 cos (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 5 cos (t) d t

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

\int 5 cos (t) d t = 5 sin (t)

= \frac{2}{3} t^{\frac{3}{2}} - 5 sin (t)

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} t^{\frac{3}{2}} - 5 sin (t) + C

Graph

Beliebte Beispiele

integral of ((x-2)^3)/((x-2))

\int \frac{( x - 2 ) ^{3}}{( x - 2 )} d x

(dy)/(dx)=14x^8

\frac{d y}{d x} = 14 x^{8}

derivative of x*|x|

\frac{d}{d x} (x \cdot ∣ x ∣)

limit as x approaches-1 of x+a

x \to - 1 lim (x + a)

limit as x approaches 2 of 2e^{x-2}

x \to 2 lim (2 e^{x - 2})