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Beliebt Rechnen >

integral of 3e^x+8x^3+4x

Lösung

\int 3 e^{x} + 8 x^{3} + 4 x d x

Lösung

3 e^{x} + 2 x^{4} + 2 x^{2} + C

Schritte zur Lösung

\int 3 e^{x} + 8 x^{3} + 4 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 e^{x} d x + \int 8 x^{3} d x + \int 4 x d x

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

\int 8 x^{3} d x = 2 x^{4}

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

= 3 e^{x} + 2 x^{4} + 2 x^{2}

Füge eine Konstante zur Lösung hinzu

= 3 e^{x} + 2 x^{4} + 2 x^{2} + C

Graph

Beliebte Beispiele

derivative of cos(1/4 x^3)

\frac{d}{d x} (cos (\frac{1}{4} x^{3}))

integral of cos^2(t)sin(t)

\int cos^{2} (t) sin (t) d t

sum from n=3 to infinity of (4/5)^n

n = 3 \sum \infty (\frac{4}{5})^{n}

\frac{d x}{d t} = k x

derivative of (x^3+4x^7)

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