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Beliebt Rechnen >

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

Lösung

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

Lösung

sin (x) + cos (x) + C

Schritte zur Lösung

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

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

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

= sin (x) - (- cos (x))

Vereinfache

= sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of cot^6(2x)

\int cot^{6} (2 x) d x

integral from 0 to infinity of 1/(x^2+9)

\int_{0}^{\infty} \frac{1}{x ^{2} + 9} d x

integral of (x-1)/x

\int \frac{x - 1}{x} d x

derivative sin((pix)/3)

d er i v a t i v e sin (\frac{π x}{3})

derivative f(x)= 3/(2x-4)

d er i v a t i v e f (x) = \frac{3}{2 x - 4}