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Beliebt Rechnen >

integral of csc^2(θ)-1

Lösung

\int csc^{2} (θ) - 1 d θ

Lösung

- cot (θ) - θ + C

Schritte zur Lösung

\int csc^{2} (θ) - 1 d θ

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int csc^{2} (θ) d θ - \int 1 d θ

\int csc^{2} (θ) d θ = - cot (θ)

\int 1 d θ = θ

= - cot (θ) - θ

Füge eine Konstante zur Lösung hinzu

= - cot (θ) - θ + C

Graph

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\int x^{\frac{4}{7}} d x

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\int (sin (4 x)) d x