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Beliebt Rechnen >

integral of 6/((x-6)^2)-4

Lösung

\int \frac{6}{( x - 6 ) ^{2}} - 4 d x

Lösung

- \frac{6}{x - 6} - 4 x + C

Schritte zur Lösung

\int \frac{6}{( x - 6 ) ^{2}} - 4 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{6}{( x - 6 ) ^{2}} d x - \int 4 d x

\int \frac{6}{( x - 6 ) ^{2}} d x = - \frac{6}{x - 6}

\int 4 d x = 4 x

= - \frac{6}{x - 6} - 4 x

Füge eine Konstante zur Lösung hinzu

= - \frac{6}{x - 6} - 4 x + C

Graph

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