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Beliebt Rechnen >

integral of 2cos(x)+2x

Lösung

\int 2 cos (x) + 2 x d x

Lösung

2 sin (x) + x^{2} + C

Schritte zur Lösung

\int 2 cos (x) + 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 2 cos (x) d x + \int 2 x d x

\int 2 cos (x) d x = 2 sin (x)

\int 2 x d x = x^{2}

= 2 sin (x) + x^{2}

Füge eine Konstante zur Lösung hinzu

= 2 sin (x) + x^{2} + C

Graph

Beliebte Beispiele

integral of (x^2-1/x)

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

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\int (x^{2} + 1) cos (3 x) d x

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\int 1 + x^{2} x^{3} d x

integral of (x+6)^8

\int (x + 6)^{8} d x

integral of (2t+1)e^{-st}

\int (2 t + 1) e^{- s t} d t