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Beliebt Rechnen >

integral of (5cos(x)-4sin(x))

Lösung

\int (5 cos (x) - 4 sin (x)) d x

Lösung

5 sin (x) + 4 cos (x) + C

Schritte zur Lösung

\int 5 cos (x) - 4 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 4 sin (x) d x

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

\int 4 sin (x) d x = - 4 cos (x)

= 5 sin (x) - (- 4 cos (x))

Vereinfache

= 5 sin (x) + 4 cos (x)

Füge eine Konstante zur Lösung hinzu

= 5 sin (x) + 4 cos (x) + C

Graph

Beliebte Beispiele

maclaurin 1/(x-2)

ma c l a u r in \frac{1}{x - 2}

derivative f(x)=e^{4x}

d er i v a t i v e f (x) = e^{4 x}

(d^2)/(dx^2)(x^{8/9}+5x)

\frac{d ^{2}}{d x ^{2}} (x^{\frac{8}{9}} + 5 x)

integral from 3 to infinity of 1/x

\int_{3}^{\infty} \frac{1}{x} d x

integral from 0 to 4 of (x^2-4x)

\int_{0}^{4} (x^{2} - 4 x) d x