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Beliebt Rechnen >

integral of (5cos(x)-3sin(x))

Lösung

\int (5 cos (x) - 3 sin (x)) d x

Lösung

5 sin (x) + 3 cos (x) + C

Schritte zur Lösung

\int 5 cos (x) - 3 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 5 cos (x) d x - \int 3 sin (x) d x

\int 5 cos (x) d x = 5 sin (x)

\int 3 sin (x) d x = - 3 cos (x)

= 5 sin (x) - (- 3 cos (x))

Vereinfache

= 5 sin (x) + 3 cos (x)

Füge eine Konstante zur Lösung hinzu

= 5 sin (x) + 3 cos (x) + C

Graph

Beliebte Beispiele

integral of x^2(2x^3+5)^4

\int x^{2} (2 x^{3} + 5)^{4} d x

integral of cos(6x)

\int cos (6 x) d x

integral of (x^5+1)e^{x^6+6x}

\int (x^{5} + 1) e^{x^{6} + 6 x} d x

sum from n=1 to infinity of 4/(n^2+5n+6)

n = 1 \sum \infty \frac{4}{n ^{2} + 5 n + 6}

integral of (sin(9/x))/(x^2)

\int \frac{sin ( \frac{9}{x} )}{x ^{2}} d x