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Beliebt Rechnen >

integral of sin(x)+cos(2x)

Lösung

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

Lösung

- cos (x) + \frac{1}{2} sin (2 x) + C

Schritte zur Lösung

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

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

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

= - cos (x) + \frac{1}{2} sin (2 x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) + \frac{1}{2} sin (2 x) + C

Graph

Beliebte Beispiele

integral of (e^{9x})/(e^{9x)+7}

\int \frac{e ^{9 x}}{e ^{9 x} + 7} d x

integral of 5e^x+4/x

\int 5 e^{x} + \frac{4}{x} d x

integral of (e^{9x})

\int (e^{9 x}) d x

integral of x^{3/4}-1/(x^{3/4)}

\int x^{\frac{3}{4}} - \frac{1}{x ^{\frac{3}{4}}} d x

integral of 7x^{1/2}

\int 7 x^{\frac{1}{2}} d x