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Beliebt Rechnen >

integral of 4x-csc^2(x)

Lösung

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

Lösung

2 x^{2} + cot (x) + C

Schritte zur Lösung

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

\int 4 x d x = 2 x^{2}

\int csc^{2} (x) d x = - cot (x)

= 2 x^{2} - (- cot (x))

Vereinfache

= 2 x^{2} + cot (x)

Füge eine Konstante zur Lösung hinzu

= 2 x^{2} + cot (x) + C

Graph

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