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Beliebt Rechnen >

integral of csc(x)-sin(x)

Lösung

\int csc (x) - sin (x) d x

Lösung

ln tan (\frac{x}{2}) + cos (x) + C

Schritte zur Lösung

\int csc (x) - sin (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 csc (x) d x - \int sin (x) d x

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

\int sin (x) d x = - cos (x)

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

Vereinfache

= ln tan (\frac{x}{2}) + cos (x)

Füge eine Konstante zur Lösung hinzu

= ln tan (\frac{x}{2}) + cos (x) + C

Graph

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integral of (cos(6sqrt(x)))/(sqrt(x))

\int \frac{cos ( 6 x )}{x} d x

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\int t^{2} e^{9 t} d t

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