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Beliebt Rechnen >

integral of 2x+3x^{-2}

Lösung

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

Lösung

x^{2} - \frac{3}{x} + C

Schritte zur Lösung

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

3 x^{- 2} = \frac{3}{x ^{2}}

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

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

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

= x^{2} - \frac{3}{x}

Füge eine Konstante zur Lösung hinzu

= x^{2} - \frac{3}{x} + C

Graph

Beliebte Beispiele

integral of (5sin^3(sqrt(x)))/(sqrt(x))

\int \frac{5 sin ^{3} ( x )}{x} d x

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\frac{d y}{d t} + 2 y = 3 e^{t}, y (0) = 1

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\int 4 + 5 x^{2} d x

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\int_{0}^{e} x ln (x) d x