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Beliebt Rechnen >

integral of 3cos(x)+3sqrt(x)

Lösung

\int 3 cos (x) + 3 x d x

Lösung

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

Schritte zur Lösung

\int 3 cos (x) + 3 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 3 cos (x) d x + \int 3 x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xe^{xy+1})

\frac{\partial}{\partial x} (x e^{x y + 1})

(\partial)/(\partial y)(2xsin(x^2y))

\frac{\partial}{\partial y} (2 x sin (x^{2} y))

derivative of 5x^2+3x-2

\frac{d}{d x} (5 x^{2} + 3 x - 2)

steigung (-8,-14),(61,-32)

s l o p e (- 8, - 14), (61, - 32)

-(dy)/(dx)=4x^3y

- \frac{d y}{d x} = 4 x^{3} y