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Beliebt Rechnen >

integral of 5cos(x)-csc^2(x)

Lösung

\int 5 cos (x) - csc^{2} (x) d x

Lösung

5 sin (x) + cot (x) + C

Schritte zur Lösung

\int 5 cos (x) - csc^{2} (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 5 cos (x) d x - \int csc^{2} (x) d x

\int 5 cos (x) d x = 5 sin (x)

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

= 5 sin (x) - (- cot (x))

Vereinfache

= 5 sin (x) + cot (x)

Füge eine Konstante zur Lösung hinzu

= 5 sin (x) + cot (x) + C

Graph

Beliebte Beispiele

integral of x/(81x^4-1)

\int \frac{x}{81 x ^{4} - 1} d x

derivative of e^{x-5}-x

\frac{d}{d x} (e^{x - 5} - x)

integral from 1 to 4 of t^2ln(4t)

\int_{1}^{4} t^{2} ln (4 t) d t

y^'+6y=t+e^{-4t}

y^{^{'}} + 6 y = t + e^{- 4 t}

integral of (x^4+1)/(x(x^2+1)^2)

\int \frac{x ^{4} + 1}{x ( x ^{2} + 1 ) ^{2}} d x