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Beliebt Rechnen >

integral of (4x+3x^2)

Lösung

\int (4 x + 3 x^{2}) d x

Lösung

2 x^{2} + x^{3} + C

Schritte zur Lösung

\int 4 x + 3 x^{2} 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 4 x d x + \int 3 x^{2} d x

\int 4 x d x = 2 x^{2}

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

= 2 x^{2} + x^{3}

Füge eine Konstante zur Lösung hinzu

= 2 x^{2} + x^{3} + C

Graph

Beliebte Beispiele

integral of 3sin(3t)

\int 3 sin (3 t) d t

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\int \frac{1}{5 y - 1} d y

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\int \frac{12}{x ^{2}} + 2 x + 2 d x

integral of 1/((1-sin(x))^2)

\int \frac{1}{( 1 - sin ( x ) ) ^{2}} d x

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

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