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Beliebt Rechnen >

integral of (1-csc(t)cot(x))

Lösung

\int (1 - csc (t) cot (x)) d t

Lösung

t - cot (x) ln tan (\frac{t}{2}) + C

Schritte zur Lösung

\int 1 - csc (t) cot (x) d t

Wende die Summenregel an:

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

= \int 1 d t - \int cot (x) csc (t) d t

\int 1 d t = t

\int cot (x) csc (t) d t = cot (x) ln tan (\frac{t}{2})

= t - cot (x) ln tan (\frac{t}{2})

Füge eine Konstante zur Lösung hinzu

= t - cot (x) ln tan (\frac{t}{2}) + C

Graph

Beliebte Beispiele

integral of (x+1)/(x^2+2x)ln(x^2+2x)

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

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\int p p^{2} - 25 d p

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\int \frac{2}{( x + 1 ) ^{6}} d x

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