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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)

Vereinfache

= cos (x) - sin (x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of x(sin(x)-cos(x))

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

integral of e^{-1/4 x}

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

integral of 24x+24x^2

\int 24 x + 24 x^{2} d x

integral of x^{1/2}+3

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

integral of (5x+6)/(x^2+x+1)

\int \frac{5 x + 6}{x ^{2} + x + 1} d x