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Beliebt Rechnen >

integral of tcsc(t)cot(t)

Lösung

\int t csc (t) cot (t) d t

Lösung

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

Schritte zur Lösung

\int t csc (t) cot (t) d t

Wende die partielle Integration an

= - t csc (t) - \int - csc (t) d t

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

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

Vereinfache

= - t csc (t) + ln tan (\frac{t}{2})

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of 5/(cos^2(x))

\frac{d}{d x} (\frac{5}{cos ^{2} ( x )})

limit as x approaches 2-of 7/(x-2)

x \to 2 - lim (\frac{7}{x - 2})

derivative f(x)=sqrt(3x^2+3x+3)

d er i v a t i v e f (x) = 3 x^{2} + 3 x + 3

integral of e^x(1+e^{1-x})

\int e^{x} (1 + e^{1 - x}) d x

xy^'+6x^2y=xe^{5x}

x y^{^{'}} + 6 x^{2} y = x e^{5 x}