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Beliebt Rechnen >

integral of cot^2(x)(1+tan^2(x))

Lösung

\int cot^{2} (x) (1 + tan^{2} (x)) d x

Lösung

- cot (x) + C

Schritte zur Lösung

\int cot^{2} (x) (1 + tan^{2} (x)) d x

Vereinfache

cot^{2} (x) (1 + tan^{2} (x)) : csc^{2} (x)

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

Nutze das gemeinsame Integral :

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

= - cot (x)

Füge eine Konstante zur Lösung hinzu

= - cot (x) + C

Graph

Beliebte Beispiele

laplacetransform 6t^4

l a pl a ce t r an s f or m 6 t^{4}

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t an g e n t f (x) = 4 - x^{2}, at x = - 1

integral of 1/(10x^7)

\int \frac{1}{10 x ^{7}} d x

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integral of (cos(y)sin(x))

\int (cos (y) sin (x)) d y