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Beliebt Rechnen >

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

Lösung

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

Lösung

- cos (x) + sin (x) + C

Schritte zur Lösung

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

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

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

= - cos (x) + sin (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) + sin (x) + C

Graph

Beliebte Beispiele

integral from 4 to 7 of x^4ln(2x)

\int_{4}^{7} x^{4} ln (2 x) d x

limit as x approaches 8 of (x^8)/(x-8)

x \to 8 lim (\frac{x ^{8}}{x - 8})

integral of-(10)/(t+7)

\int - \frac{10}{t + 7} d t

derivative of 3sqrt(x^2+8x)

\frac{d}{d x} (3 x^{2} + 8 x)

(dy)/(dx)=6x^2-x^2y

\frac{d y}{d x} = 6 x^{2} - x^{2} y