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Beliebt Rechnen >

integral of (3x^2+1)

Lösung

\int (3 x^{2} + 1) d x

Lösung

x^{3} + x + C

Schritte zur Lösung

\int 3 x^{2} + 1 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 x^{2} d x + \int 1 d x

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

\int 1 d x = x

= x^{3} + x

Füge eine Konstante zur Lösung hinzu

= x^{3} + x + C

Graph

Beliebte Beispiele

derivative 1/((x-1))

d er i v a t i v e \frac{1}{( x - 1 )}

integral of (x^2+2x)e^{x^3+3x^2-1}

\int (x^{2} + 2 x) e^{x^{3} + 3 x^{2} - 1} d x

tangent f(x)=(x-1)^2+1,\at x=-1

t an g e n t f (x) = (x - 1)^{2} + 1, at x = - 1

fläche f(x)=-10x+5,(1,2)

a re a f (x) = - 10 x + 5, (1, 2)

integral of x^2sqrt(4x^2+1)

\int x^{2} 4 x^{2} + 1 d x