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Beliebt Rechnen >

integral of 11x^{10}-(10)/(x^{10)}

Lösung

\int 11 x^{10} - \frac{10}{x ^{10}} d x

Lösung

x^{11} + \frac{10}{9 x ^{9}} + C

Schritte zur Lösung

\int 11 x^{10} - \frac{10}{x ^{10}} 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 11 x^{10} d x - \int \frac{10}{x ^{10}} d x

\int 11 x^{10} d x = x^{11}

\int \frac{10}{x ^{10}} d x = - \frac{10}{9 x ^{9}}

= x^{11} - (- \frac{10}{9 x ^{9}})

Vereinfache

= x^{11} + \frac{10}{9 x ^{9}}

Füge eine Konstante zur Lösung hinzu

= x^{11} + \frac{10}{9 x ^{9}} + C

Graph

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