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Beliebt Rechnen >

integral of 1/((x-1)^2)+C

Lösung

\int \frac{1}{( x - 1 ) ^{2}} + C d x

Lösung

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

Schritte zur Lösung

\int \frac{1}{( x - 1 ) ^{2}} + C 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 - 1 ) ^{2}} d x + \int C d x

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

\int C d x = C x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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