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Beliebt Rechnen >

integral of sin(x)-8cos(x)

Lösung

\int sin (x) - 8 cos (x) d x

Lösung

- cos (x) - 8 sin (x) + C

Schritte zur Lösung

\int sin (x) - 8 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 8 cos (x) d x

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

\int 8 cos (x) d x = 8 sin (x)

= - cos (x) - 8 sin (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) - 8 sin (x) + C

Graph

Beliebte Beispiele

derivative f(x)=cot(7x)

d er i v a t i v e f (x) = cot (7 x)

limit as x approaches 0 of ((1/((x+4)))-(1/4))/x

x \to 0 lim \frac{( \frac{1}{( x + 4 )} ) - ( \frac{1}{4} )}{x}

derivative sqrt(5x+8)

d er i v a t i v e 5 x + 8

y^{^{'}} = \frac{x}{1 + x ^{2}}

derivative of ((x+1^3)/x)

\frac{d}{d x} (\frac{( x + 1 ) ^{3}}{x})