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Beliebt Rechnen >

integral of 1/(x^3)+x

Lösung

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

Lösung

- \frac{1}{2 x ^{2}} + \frac{x ^{2}}{2} + C

Schritte zur Lösung

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

\int \frac{1}{x ^{3}} d x = - \frac{1}{2 x ^{2}}

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

= - \frac{1}{2 x ^{2}} + \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{2 x ^{2}} + \frac{x ^{2}}{2} + C

Graph

Beliebte Beispiele

derivative (x-3)/2

d er i v a t i v e \frac{x - 3}{2}

(\partial)/(\partial x)(x^3yz^2+7yz)

\frac{\partial}{\partial x} (x^{3} y z^{2} + 7 yz)

derivative of x^2e^{x+3}

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

y^{''}-2y^'+y=1

y^{^{''}} - 2 y^{^{'}} + y = 1

(dy)/(dx)=(x^2+y^2)/(yx)

\frac{d y}{d x} = \frac{x ^{2} + y ^{2}}{y x}