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Beliebt Rechnen >

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

Lösung

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

Lösung

5 cot (x) + 5 x + C

Schritte zur Lösung

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

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

\int 5 d x = 5 x

= - (- 5 cot (x)) + 5 x

Vereinfache

= 5 cot (x) + 5 x

Füge eine Konstante zur Lösung hinzu

= 5 cot (x) + 5 x + C

Graph

Beliebte Beispiele

integral of (xe^{-x})

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

(\partial)/(\partial y)(xy(x-2)(y+3))

\frac{\partial}{\partial y} (x y (x - 2) (y + 3))

limit as x approaches 0 of x^2+sin^2(x)

x \to 0 lim (x^{2} + sin^{2} (x))

derivative f(x)=(4x+5)^2

d er i v a t i v e f (x) = (4 x + 5)^{2}

integral of cos^5(x)tan^3(x)

\int cos^{5} (x) tan^{3} (x) d x