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Beliebt Rechnen >

integral of (4x+7)

Lösung

\int (4 x + 7) d x

Lösung

2 x^{2} + 7 x + C

Schritte zur Lösung

\int 4 x + 7 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 7 d x

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

\int 7 d x = 7 x

= 2 x^{2} + 7 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{2} + 7 x + C

Graph

Beliebte Beispiele

limit as x approaches 3 of 8

x \to 3 lim (8)

derivative of \sqrt[4]{x^3+4x^2+7}

\frac{d}{d x} (4 x^{3} + 4 x^{2} + 7)

derivative of 3x*sin(x)

\frac{d}{d x} (3 x \cdot sin (x))

derivative ((sqrt(x)))/(4+x)

d er i v a t i v e \frac{( x )}{4 + x}

derivative 0.49489nv^2+1500*n/v

d er i v a t i v e 0.49489 n v^{2} + 1500 \cdot \frac{n}{v}