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Beliebt Rechnen >

integral of (1+cos(2θ))

Lösung

\int (1 + cos (2 θ)) d θ

Lösung

θ + \frac{1}{2} sin (2 θ) + C

Schritte zur Lösung

\int 1 + cos (2 θ) d θ

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d θ + \int cos (2 θ) d θ

\int 1 d θ = θ

\int cos (2 θ) d θ = \frac{1}{2} sin (2 θ)

= θ + \frac{1}{2} sin (2 θ)

Füge eine Konstante zur Lösung hinzu

= θ + \frac{1}{2} sin (2 θ) + C

Graph

Beliebte Beispiele

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

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\int (4 x - 5)^{6} d x

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

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\int x^{2} + 2 x - 35 d x