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Beliebt Rechnen >

integral of (8x^3+1/x)

Lösung

\int (8 x^{3} + \frac{1}{x}) d x

Lösung

2 x^{4} + ln ∣ x ∣ + C

Schritte zur Lösung

\int 8 x^{3} + \frac{1}{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 8 x^{3} d x + \int \frac{1}{x} d x

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

\int \frac{1}{x} d x = ln ∣ x ∣

= 2 x^{4} + ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= 2 x^{4} + ln ∣ x ∣ + C

Graph

Beliebte Beispiele

derivative f(x)=3e^{3e^x+x}

d er i v a t i v e f (x) = 3 e^{3 e^{x} + x}

(\partial)/(\partial x)(xz+e^{-x^2+y})

\frac{\partial}{\partial x} (x z + e^{- x^{2} + y})

derivative of 4^x+1

\frac{d}{d x} (4^{x} + 1)

derivative of x^2+3x+5

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

limit as x approaches 2 of 4/((x-2)^3)

x \to 2 lim (\frac{4}{( x - 2 ) ^{3}})