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Beliebt Rechnen >

integral of 5x+2/(3x^5)

Lösung

\int 5 x + \frac{2}{3 x ^{5}} d x

Lösung

\frac{5 x ^{2}}{2} - \frac{1}{6 x ^{4}} + C

Schritte zur Lösung

\int 5 x + \frac{2}{3 x ^{5}} 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 5 x d x + \int \frac{2}{3 x ^{5}} d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int \frac{2}{3 x ^{5}} d x = - \frac{1}{6 x ^{4}}

= \frac{5 x ^{2}}{2} - \frac{1}{6 x ^{4}}

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{2}}{2} - \frac{1}{6 x ^{4}} + C

Graph

Beliebte Beispiele

integral of 5/(3x-4)

\int \frac{5}{3 x - 4} d x

integral of x^2+6x+9

\int x^{2} + 6 x + 9 d x

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\int \frac{( 11 + x )}{x} d x

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\int \frac{1}{( cos ( x ) + 1 )} d x

integral of (8x^3-4csc^2(x)+e^x)

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